Question

The function y = x 2 - 8x - 16 has a A. minimum B.maximum value of A.-4 B.-8 C.-32 D. 4

Answer 1

minimum value of - 32 :) you can just plug this equation into a graphing calculator to find the answer!

Answer 2

Answer with explanation:

The given function is :

`y= x^2 - 8 x -16`

For Maximum or Minimum ,Differentiating once , with respect to ,x

y'= 2 x - 8

Substituting, y'=0

2 x - 8 = 0

2 x= 8

Dividing both side by , 2 we get

x=4

To check whether ,it is maximum or Minimum, we will double differentiate it,with respect to x,

→y"= -8, which is negative.Showing that ,x=4 is point of Maximum.

So,→ Maximum value at ,x=4 is

y(4)=4² -8 × 4 -16

=1 6 - 32 - 16

= -32

Option C: -32