Question

Use the following function rule to find f(2).

f(x)= -5(8)^x
f(2)=___

Answer 1

To find \( f(2) \) using the function rule \( f(x) = -5(8)^x \), we substitute \( x = 2 \) into the function:

\[
f(2) = -5(8)^2
\]

Next, we calculate \( (8)^2 \):

\[
(8)^2 = 64
\]

Now substitute this value back into the function:

\[
f(2) = -5(64)
\]

Now calculate \( -5 \times 64 \):

\[
-5 \times 64 = -320
\]

Thus,

\[
f(2) = -320
\]

Therefore, the answer is

\[
\boxed{-320}
\]