Isuck at math

let f(x)=−3√x .

what is the average rate of change of f(x) from 8 to 64?

a) 28

b) −128

c) 128

d) −28

the table shows the values of a function f(x).

what is the average rate of change of f(x) from −2 to 2?

x f(x)

−2 25

−1 24

0 21

1 16

2 9

3 0

enter your answer in the box.

the attendance for several baseball games is shown in the table.

which answer describes the average rate of change from game 2 to game 5?

game attendance (number of people)

1 654

2 680

3 702

4 732

5 755

a) the attendance increased by an average of 25 people per game from game 2 to game 5.

b) the attendance increased by an average of 101 people per game from game 2 to game 5.

c) the attendance increased by an average of 19 people per game from game 2 to game 5.

d) the attendance increased by an average of 75 people per game from game 2 to game 5.

what is the average rate of change from −1 to 1 of the function represented by the graph?

an inverse variation function graphed on a coordinate plane. the horizontal x-axis ranges from negative 2 to 2 in increments of 1. the vertical y-axis ranges from negative 2 to 2 in increments of 1. moving from left to right, the branch is in the third quadrant and passes through begin ordered pair negative 2 comma negative 0.2, begin ordered pair negative 1 comma negative 0.25 end ordered pair, begin ordered pair 0 comma negative 0.33 end ordered pair, begin ordered pair 1 comma negative 0.5 end ordered pair and begin ordered pair 2 comma negative 1 end ordered pair.

enter your answer in the box.

1. -1/28

2. -4

3.A) The attendance increased by an average of 25 people per game from game 2 to game 5.

4. -.125

Step-by-step explanation:

To find the rate of change, we use the formula

f(x2) - f(x1)

x2-x1

1.  

f(x) = -(x) ^ 1/3

f(64) = -(64) ^ 1/3 = -4

f(8) =- (8)^1/3 = -2

f(64) - f(8)     -4--2             -4+2             -2            -1

=     =   = =  

64 - 8              56               56              56            28

2.  

f(2) = 9

f(-2) = 25

f(x2) - f(x1)   f(2) - f(-2)      9-25              -16            -16

= = = = = -4

x2-x1             2--2                2+2              4            4

3.

f(5) = 755

f(2) = 680

f(x2) - f(x1)    f(5) - f(2)     755-680      75

=   = = = 25

x2-x1              5-2                  3             3

A) The attendance increased by an average of 25 people per game from game 2 to game 5.

4.  

f(-1)  = -.25

f(1) = -.5

f(x2) - f(x1)    f(1) - f(-1)     -.5 --.25       -.5+.25     -.25

=   = = = = -.125

x2-x1              1--1                 1+1             2             2

We know that average of a function from x=a to x=b is calculated by:

Ques 1)

and

Hence, the rate of change from 8 to 64 is given by:

Hence, the rate of change is:

Ques 2)

The table is given as:

x  f(x)

-2  25

-1  24

0  21

1  16

2  9

3  0

Hence, the average rate of change from -2 to 2 is calculated as:

Hence, average rate of change is:

Ques 3)

GameAttendance (number of people)

1                     654

2                     680

3                      702

4                      732

5                       755

The average rate of change from game 2 to game 5 is calculated as:

Hence, option: A is the correct answer.

A) The attendance increased by an average of 25 people per game from game 2 to game 5.

Ques 4)

We are asked to find the average rate of change from -1 to 1.

We have the x and y value as follows:

 x             y=f(x)

-2             -0.2

-1              -0.25

 0             -0.33

 1              -0.5

 2              -1

Hence, the average rate of change from x= -1 to x=1 is calculated as:

Hence, the average rate of change from x=-1 to x=1 is:

what graph

step-by-step explanation: