The function y
=
f
(
x
)
y=f(x) is graphed below. Plot a line segment connecting the points on
f
f where
x
=
−
6
x=−6 and
x
=
−
2.
x=−2. Use the line segment to determine the average rate of change of the function
f
(
x
)
f(x) on the interval
−
6
≤
x
≤
−
2.
−6≤x≤−2.

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

ok

step-by-step explanation: