Question

Evaluate |x| + (-2x 2) for x = 3.

Answer 1

Hello!

The answer is:

`f(3)=|x|+(-2x^(2))=-15`

Why?

Evaluating a function means replacing the variable with the given value (3 for this case).

To evaluate the function, we need to remember that the absolute value guarantees a possitive value, for example:

`|-3|=3\\|-4|=4`

So, we are given the function:

`f(x)=|x|+(-2x^(2))`

Then, evaluating we have:

`f(3)=|3|+(-2*(3)^(2))=3+(-2*9)=3-18=-15`

Hence, the answer is:

`f(3)=|x|+(-2x^(2))=-15`

Have a nice day!