Question

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

f(x)= -2(8)^8+5
f(1)=___

Answer 1

First, let's evaluate \(f(0)\) using the given function rule \(f(x) = -2(8)^x + 5\).

To find \(f(0)\), substitute \(x = 0\):

\[
f(0) = -2(8)^0 + 5
\]

Since \((8)^0 = 1\), this simplifies to:

\[
f(0) = -2(1) + 5 = -2 + 5 = 3
\]

So, \(f(0) = 3\).

Next, let's find \(f(1)\) by substituting \(x = 1\):

\[
f(1) = -2(8)^1 + 5
\]

Calculating this gives:

\[
f(1) = -2(8) + 5 = -16 + 5 = -11
\]

Thus, \(f(1) = -11\).

To summarize:
- \(f(0) = 3\)
- \(f(1) = -11\)