Question
Evaluate the following function f(x) = 2x3 − 8 for f(2)
(1 point)
Responses
f(2) = 56
f(2) = 56
f(2) =10
f(2) =10
f(2) = 4
f(2) = 4
f(2) = 8
(1 point)
Responses
f(2) = 56
f(2) = 56
f(2) =10
f(2) =10
f(2) = 4
f(2) = 4
f(2) = 8
Answers
GPT-4o mini
To evaluate the function \( f(x) = 2x^3 - 8 \) for \( f(2) \), we substitute \( x = 2 \) into the function:
\[
f(2) = 2(2^3) - 8
\]
First, calculate \( 2^3 \):
\[
2^3 = 8
\]
Now substitute that back into the function:
\[
f(2) = 2(8) - 8
\]
Calculate \( 2(8) \):
\[
2(8) = 16
\]
Now subtract 8:
\[
f(2) = 16 - 8 = 8
\]
So, the value of \( f(2) \) is:
\[
f(2) = 8
\]
The correct response is:
f(2) = 8
\[
f(2) = 2(2^3) - 8
\]
First, calculate \( 2^3 \):
\[
2^3 = 8
\]
Now substitute that back into the function:
\[
f(2) = 2(8) - 8
\]
Calculate \( 2(8) \):
\[
2(8) = 16
\]
Now subtract 8:
\[
f(2) = 16 - 8 = 8
\]
So, the value of \( f(2) \) is:
\[
f(2) = 8
\]
The correct response is:
f(2) = 8