Question

Evaluate the function at each specified value of the independent variable and simplify. (if an answer is undefined, enter undefined.) h(t) = t2 − 8t (a) h(8) (b) h(1.8) (c) h(x + 8

Answer 1

For this case we have the following function:

`h (t) = t ^ 2 - 8t`

What we should do is evaluate the function for the different values of the independent variable.

We have then:

For x = 8:

`h (8) = (8) ^ 2 - 8 (8)`

`h (8) = 64 - 64`

`h (8) = 0`

For x = 1.8:

`h (1.8) = (1.8) ^ 2 - 8 (1.8)`

`h (1.8) = 3.24 - 14.4`

`h (1.8) = -11.16`

For x = x + 8:

`h (x + 8) = (x + 8) ^ 2 - 8 (x + 8)`

`h (x + 8) = x ^ 2 + 16x + 64-8x-64`

`h (x + 8) = x ^ 2 + 18x`

Answer:

The results of evaluating the function are:

`h (8) = 0`

`h (1.8) = -11.16`

`h (x + 8) = x ^ 2 + 18x`