Question
Find the indicated outputs for f(x)equals2x squaredminus5x.Question content area bottomPart 1f(-1)equals
Answers
GPT-4o mini
To find \( f(-1) \) for the function \( f(x) = 2x^2 - 5x \), we will substitute \(-1\) for \( x \).
\[
f(-1) = 2(-1)^2 - 5(-1)
\]
Calculating step-by-step:
1. Calculate \((-1)^2\):
\[
(-1)^2 = 1
\]
2. Now substitute back into the equation:
\[
f(-1) = 2(1) - 5(-1)
\]
3. Simplify \( 2(1) \) and \( -5(-1) \):
\[
f(-1) = 2 - (-5)
\]
\[
f(-1) = 2 + 5
\]
4. Finally, add:
\[
f(-1) = 7
\]
Thus, \( f(-1) = 7 \).
\[
f(-1) = 2(-1)^2 - 5(-1)
\]
Calculating step-by-step:
1. Calculate \((-1)^2\):
\[
(-1)^2 = 1
\]
2. Now substitute back into the equation:
\[
f(-1) = 2(1) - 5(-1)
\]
3. Simplify \( 2(1) \) and \( -5(-1) \):
\[
f(-1) = 2 - (-5)
\]
\[
f(-1) = 2 + 5
\]
4. Finally, add:
\[
f(-1) = 7
\]
Thus, \( f(-1) = 7 \).