Question

Evaluate the following functionf(x)=2x2−8
𝑓
(
𝑥
)
=
2
𝑥
2
−
8

for f(3)
𝑓
(
3
)
.(1 point)
f(3)=
𝑓
(
3
)
=

Answer 1

To evaluate the function \( f(x) = 2x^2 - 8 \) at \( x = 3 \), we substitute \( 3 \) for \( x \):

\[
f(3) = 2(3)^2 - 8
\]

Calculating \( (3)^2 \):

\[
(3)^2 = 9
\]

Now substitute this back into the equation:

\[
f(3) = 2(9) - 8
\]

Multiplying \( 2 \) and \( 9 \):

\[
f(3) = 18 - 8
\]

Now, subtract \( 8 \) from \( 18 \):

\[
f(3) = 10
\]

Thus, the value of \( f(3) \) is:

\[
\boxed{10}
\]