Question

Use the following function rule to find f(0).

f(x)= 2^x-4
f(5)=___

Answer 1

To find \( f(0) \) using the function rule \( f(x) = 2^x - 4 \), we substitute \( x = 0 \) into the function:

\[
f(0) = 2^0 - 4
\]

Since \( 2^0 = 1 \), we have:

\[
f(0) = 1 - 4 = -3
\]

Now, to find \( f(5) \), we substitute \( x = 5 \) into the same function:

\[
f(5) = 2^5 - 4
\]

Calculating \( 2^5 \):

\[
2^5 = 32
\]

Thus,

\[
f(5) = 32 - 4 = 28
\]

In summary, the answers are:

\[
f(0) = -3
\]
\[
f(5) = 28
\]