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!