What are the relative minimum and relative maximum values over the interval [−4, 4] for the function shown in the graph?

a. relative minimum = −36 , relative maximum = 64

b. relative minimum = 0, relative maximum = 64

c. relative minimum = −3 , relative maximum = 64

d. relative minimum = −3 , relative maximum = −36

A

Step-by-step explanation:

The relative minimum is where the curve changes directions from down to up.  The relative maximum is where the curve changes direction from up to down.

In the interval [-4, 4], there are two relative minimums: y=-36.  And there is one relative maximum: y=64.

Answer A.

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

)