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

Question

𝑓
(
𝑥
)
=
2
𝑥
2
−
8

for f(2)
𝑓
(
2
)
.(1 point)
f(2)=
𝑓
(
2
)
=

Answer 1

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

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

Calculating \( (2)^2 \):

\[ (2)^2 = 4 \]

Now substitute back into the equation:

\[ f(2) = 2(4) - 8 \]

Calculating \( 2(4) \):

\[ 2(4) = 8 \]

Now subtract \( 8 \):

\[ f(2) = 8 - 8 = 0 \]

Thus, the final result is:

\[ f(2) = 0 \]