3.

Question

Evaluate f(x) = –2x2 –4 for x = 3.

Answer 1

To evaluate the function \( f(x) = -2x^2 - 4 \) for \( x = 3 \), substitute \( 3 \) in place of \( x \):

\[ f(3) = -2(3)^2 - 4 \]

First, calculate \( (3)^2 \):

\[ (3)^2 = 9 \]

Now substitute back into the function:

\[ f(3) = -2(9) - 4 \] \[ = -18 - 4 \] \[ = -22 \]

Thus, \( f(3) = -22 \).