Examine the following piecewise function.


A graph formed of straight line segments between the following points: (negative 8, 3), (negative 2, 8), (2, 8), (3, 0), and (7, negative 7).


© 2018 StrongMind. Created using GeoGebra.



Which statements are true?


Select all that apply.
1.The function is increasing over the interval 2≤x≤3

2.The function is increasing over the interval 2≤x≤3.

3.The function is increasing over the interval −8≤x≤−2.

4.The function is increasing over the interval −8≤x≤−2.

Answers

Answer 1

By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:

"The function is increasing over the interval −8≤x≤−2."

Which statements are true?

We know that our function is made of straight lines that connect:

Point (-8, 3) with (-2, 8)   {This is an increasing line}Point (-2, 8) with (2, 8)   {This is a horizontal line}Point (3, 0), and (7, -7)   {This is a decreasing line}

(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).

Then the statement that is true is:

3) "The function is increasing over the interval −8≤x≤−2."

If you want to learn more about piecewise functions, you can read:

https://brainly.com/question/3628123


Related Questions

Which graph does not pass the vertical line test

Answers

Answer:

graph 1

Step-by-step explanation:

two points have the same X value

help. list all possible answers

Answers

Hii
Answer:

need more details?

What is the perimeter of the pentagon?

Answers

Answer:

86 cm

Step-by-step explanation:

parameter of the Pentagon

= the parameter of the square + the parameter of the

triangle

= 48 + 38

= 86

no links please and thanks

Answers

SORRY B GFVBSDJ FS VBDF HVDFSBV FNVFDHS

Complete the coordinates using the given equation

Y=3x+3
X=5

Answers

Answer:

(5,18)

Step-by-step explanation:

Plug in the X value into the Y equation,

Y=3(5) +3

Y=15 +3

Y=18

Then format your results as coordinates in the standard (X,Y) format

(X,Y)

(5,Y)

(5,18)

The complete coordinates is (5, 18)
3(5)= 15 + 3 = 18

How do you reduce 3.75 to its lowest terms

Answers

Answer: 3.75 is at it's lowest terms. if you mean fractions its 15/4 or 3 & 3/4

Step-by-step explanation:

The graph of the function f(x) is shown.


Enter a value of x where f(x) and the equation y = 0.5x + 3 intersect.

Answers

Answer:

x = 2

x = -1.5

Step-by-step explanation:

The graph is of function f(x) = x²

Therefore, to find where the function intersects with y = 0.5x + 3,

equal the functions and solve for x:

⇒ x² = 0.5x + 3

⇒ x² - 0.5x - 3 = 0

Multiply both sides by 2:

⇒ 2x² - x - 6 = 0

Factor:

⇒ 2x² - 4x + 3x - 6 = 0

⇒ 2x(x - 2) + 3(x - 2) = 0

⇒ (x - 2)(2x + 3) = 0

Therefore:

(x - 2) = 0  ⇒  x = 2

(2x + 3) = 0  ⇒  x = -1.5

Which model best fits the data shown in the scatterplot?

A. y=-0.7x+1.9
B. y = 0.7x+1.9
C. y=-0.7x-3.8
D. y=1.9x-07

Answers

Answer:

A. y = -0.7x + 1.9

Step-by-step explanation:

The y-intercept is roughly +2 as you can see from the scatterplot therefore ⇒ Not option C or D [both of which are negative]The slope is slanted from top left to right bottom [meaning the slope is negative] ⇒ Not BThe correct option is A

What is the radius of a circle (rounded to the nearest tenth) that has an area of 48?

Answers

Answer:

3.9

Step-by-step explanation:

Use the formula A = πr^2  (area of a circle = Pi times radius squared)

Plug in what we know:

48 = πr^2  (first, divide 48 by Pi = that would equal 15.27887 continued, round it to the nearest tenth and you would get 15.3)

15.3 = r^2 (now, we find the square root of 15.3, 3.9115 continued, round it to the nearest tenth, and it will be 3.9)

3.9 = radius

The radius of the circle (rounded to the nearest tenth) is 3.1.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

The formula for the area of a circle is A = πr², where A is the area and r is the radius.

We can use this formula to solve for the radius of the circle with an area of 48:

A = πr²

48 = πr²

Dividing both sides by π gives:

r² = 48/π

Taking the square root of both sides gives:

r = √(48/π)

r ≈ 3.1

Therefore, r ≈ 3.1.

To learn more about the circle;

https://brainly.com/question/29142813

#SPJ2

HELP PLS I BEGGING :=))))))))

Answers

Answer:

28 inches

Step-by-step explanation:

[tex]P = 2(l+w)[/tex]

[tex]P=2(9+5)[/tex]

[tex]P=2(14)[/tex]

[tex]P=28[/tex]

4. Which statement is true for a preimage and its rotated image in the coordinate plane?

A.They are congruent.

B. They are exactly 4 units apart in the coordinate plane.

C. They were rotated around the origin since that is the only point in the plane you can use as the center of rotation.

D. They are two different sizes.

Answers

Answer:

C, they are congruent.

Step-by-step explanation:

Rotation only changes the position of the image, not the size. :)

Answer:

C. They were rotated around the origin since that is the only point in the plane you can use as the center of rotation.

explanation:

when you think about it and look at the other problems, they are all going around the center of the grid when rotated, specifically the key word is when rotated, when they are translated they go anywhere they want.

f(x) = x2. What is g(x)?

Answers

Answer:

D

Step-by-step explanation:

1/2 * x^2 , x =2

1/2 * 4 = 2

(2,2) is a point confirmed

Hong has a bookcase with 8 shelves. There are k books on each shelf. Using , write an expression for the total number of books.

Answers

Answer: total books = 8k

Step-by-step explanation:

k = books on each shelf

total books = bookcases * shelves per bookcase * books per shelf (k)

total books = 1 * 8 * k

total books = 8k

Answer:

8k

Step-by-step explanation:

To find the total number of books, take the number of shelves and multiply by the number of books on each shelf

8*k

The total number of books is 8k

What are the x intercepts for the following
function? f(x) = x2 - 4x + 4
a. 2 and 4
b. -1 and O
c. -4 and 4
d. 2

Answers

Answer: 2

Step-by-step explanation: It is 2. You can use the vertex formula x= (-b/2a) 4/2(1), which is 2 and x=2 is the x intercept.

Answer please!!!
Best answer gets brainliest!!!

Answers

Answer:

8

Step-by-step explanation:

hope this is right????

im not sure if i did it correctly but i tryed

Help needed! MATH FORM BELOW

Answers

Answer: 23

Step-by-step explanation:

If I am not mistaken, you should find

what times 2 plus 14 equals 60 which would be......

23

c)
Point C has me
same x-coordinate as point A
same y-coordinate as point B
Write down the coordinates
of point

Answers

Answer:

(-4, -2)

Step-by-step explanation:

x-axis is horizontal and y-axis is vetical. The first valye of point A is -4, the second value of point B is -2, therefore, point C = (-4, -2)

The coordinates of C from the given graph are (-4, -2).

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of A = (-4, 1)

The coordinates of B = (3, -2)

Now,

Point C has me same x-coordinate as point A and the same y-coordinate as point B

So,

The coordinates of C = -4, -2)

Thus,

The coordinates of C from the given graph are (-4, -2).

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

1. What values of a, b, and c would you use in the quadratic formula for the following equation? (1 point)
5x + 9x=4
O a=-4.5 = 9,c=5
O a = 5,6 = 9,c=-4
O a=5,b= -4,0 = 9
Oa=5, b =9, c = 4

Answers

Answer:O a=5,b= -4,0 = 9?

Step-by-step explanation:i am not sure if this is right

the diagram represents the unit rate of making copies on a copy machine. Which table represents the rate of making copies on this copy machine?

Answers

The unit rate is the amount of book copy made in a second

The table that represents the unit rate is table (b)

How to determine the table?

The interpretation of the diagram for making copies is:

Rate = 4 copies per second

This means that:

The table that represents this diagram must have a slope or rate of 4

From the list of options, the table (b) has a slope of 4.

This is calculated as:

Slope = Copies/Time

So, we have:

Slope = 40/10 = 4

Hence, the table that represents the unit rate is table (b)

Read more about unit rates at:

https://brainly.com/question/19493296

please help ive been on this question for hours

Answers

Answer: 52.4

Step-by-step explanation:

Answer:

π\3 ≈ 1.0 in²

Step-by-step explanation:

area of a full circle= 2πr = 2π(10) = 20π

central angle of full circle= 360°

area of the shaded region= ?

angle of shaded region= 60°

[tex] \frac{360}{60} = \frac{20\pi}{?} \\ \: \\ {?} = \frac{20\pi \times 60}{360 } = \frac{\pi}{3} [/tex]

Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?

Answers

Answer:

Hope this helps!!!!!!

Mark Brainlest!!!!!!!!!!

Step-by-step explanation:

Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?

Ratio = 1 : 3

Let Mark's share be 1x = x

and Henry's share be 3x

We know that Mark gets £9

So,

1x = x = £9

Then 3x = £(3 * 9) = £27

HENCE,

Mark's share = £9

Henry's share = £27

Total money = Mark's share + Henry's share = £9 + £27 = £36

Answer:

£27

Step-by-step explanation:

so it shows mark is 1 while Henry is 3

we know that Mark is 1/4 while Henry is 3/4

/4 because the total is 4 so whatever their ratio is over their total

so we do: 1 = 9

3 = ?

and then u cross multiply

3*9 = 27 ÷ 1 = 27

so Henry receives £27

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
mm
4
M
3
mm
|*
mm
3
mm
Last one for today thank youu

Answers

Hope this helps Youuuuuuuu

The sum of two numbers is 39. the second number is 6 more than half of the first number. let a represent the firstnumber and let b represent the second number. what are the two numbers? use the table to answer the question.

Answers

Answer:

a = 22b = 17

Step-by-step explanation:

Givens

Let a = the first number

Let b = the second number

Equations

a + b = 39

b = 1/2 * a + 6

Put the second equation into the first one

a + 1/2 * a +   6 = 39                  Simplify the left.

(3/2)a + 6 = 39                           Subtract 6 from both sides

(3/2)a + 6 - 6 = 39 - 6                Combine

(3/2)a = 33                                  Multiply both sides by 2

3a = 33*2

3a = 66                                       Divide both sides by 3

3a/3 = 66/3

a = 22

b = 1/2 a + 6

a = 22

b = 1/2 * 22 + 6

b = 11 + 6

b = 17

Check

22 + 17 = 39

Is (2, 8) a solution to the equation y = 6x?








Is (2, 8) a solution to the equation y = 6x?















Answers

Answer:

No.

Step-by-step explanation:

Substitute 2 for x and 8 for y in y=6x

8 = 6(2) -> 8 = 12

This is false, so (2,8) is not a solution for y=6x

image below ill give branliest 20 points question

Answers

Answer:

I can't see image

Step-by-step explanation:

why I not see image

In what areas is leslie's overspending
hurting her budget?
select all that apply.
ignore my check marks those weren’t right pleas help

Answers

Answer:

is there a picture to answer?

Step-by-step explanation:

HELP PLEASE points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume

Answers

Answer:

D. Volume

Explanation:

volume - amount of space that a substance occupies

Here the substance is soil and planter will hold the specific volume of soil.

Can someone help with number 28 and explain how todo it

Answers

Base on tangent and secant rule for intersection,

The length of WZ is 12.

The angle of the arc XZ is 39 degrees.

What is tangent of a circle

The tangent to a circle is defined as a straight line that touches the circle at a single point.

Therefore,

WX × WY = WZ²

8 × (10 + 8) = WZ²

8 × 18 = WZ²

WZ² = 144

WZ = √144

WZ = 12

74° = 1 / 2(187 - arc XZ)

74 = 93.5 - arcXZ / 2

-19.5  = - arcXZ / 2

-39 = - arcXZ

-arcXZ = 39°

learn more on tangent here: https://brainly.com/question/12655272

In this triangle, a = 10 cm, b = 24 cm, and c = 26 cm.

What is the area of this triangle?


312 cm²

240 cm²

130 cm²

120 cm²

Answers

120 cm^3

The equation for a triangle: 1/2bh.

1/2(a)(b)

1/2(10)(24)

1/2(240)

120 cm^3

HELP ASAP ILL MARK BRAINLIST

Describe the tangent ratio and solve. Show your work. Round your answer to the nearest thousandth.

Answers

Answer: 0.428

Step-by-step explanation:

[tex]\tan \theta=\frac{\text { side opposite to } \theta}{\text { side adjacent to } \theta}[/tex]

[tex]\begin{aligned}\tan \theta &=\frac{A B}{A C} \\\tan \theta &=\frac{6}{14} \\\tan \theta &=\mathbf{0 . 4 2 8}\end{aligned}[/tex]

Other Questions
When does the northern hemisphere receive the fewest direct rays from the sun? during the fall equinox during the winter solstice during the spring equinox during the summer solstice 100 POINTSA cone has a slant height of 7.5cm and a radius of 4.5 cm. What is the volume of the cone? How many moles of oxygen are required to burn in one mole of C4H8 completely? Carbon dioxide emissions have been linked to increased air pollution. The following table lists some possible public policies aimed at reducing the amount of carbon dioxide in the air Please help! will give brainlest! If c is a positive real number and ak=klnc, for what values of c, if any, does the infinite series k=1[infinity]ak converge? Why did the narrator's dad and gustavo decide to immigrate to the usa from el salvador? What does an environmental management technician do?. X/6 + 5 = 25 Solve the variable in the equation WHERE have you seen genetic engineering in your own life (think about foods, animals, and/or medicine)? Given the following equation: Cu + 2 AgNO3 ---> Cu(NO3)2 + 2Ag How many grams of Cu are needed to react with 262g moles ofAgNO3? 50 points lab report guide (4).docx What do the results tell you about your hypothesis(es)? Results will tell you which hypothesis is true How do the data support your claim above? 11/which of the following is true?A. Warmer colors advanced; cooler colors recede.B. Lighter colors advanced ; darker colors recede.C. Purer colors recede ; duller colors advance.D. Duller colors advance; Warmer colors recede. In the polynomial below, what number should replace the question mark to produce a difference of squares? x^2 + ?x - 36A. 12B. 36C. 6D. 0 A rectangles length is 8 feet shorter than four times its width. The rectangles perimeter is 134 feet. Find the rectangles length and width.The rectangles length is ____ feet, and its width is _____ feet. Please Help I'm Confused. Pls help with this I will give brainliest Find the side labeled x. State your answer rounded to 5 decimal places.HELPPPPPP Help me describe air pollution and its causes. Could you please calculate angle CDO and explaing how did you get it so that I can understand how to answer this question? :)