Question
) Evaluate the function for the following input: . Which input generates the
largest output when evaluating the function? (1 point)
f(x) = 3 − 2x
f(0)
f(5)
f(3)
f(2
largest output when evaluating the function? (1 point)
f(x) = 3 − 2x
f(0)
f(5)
f(3)
f(2
Answers
GPT-4o mini
To evaluate the function \( f(x) = 3 - 2x \) for the given inputs, we can substitute each value of \( x \) into the function:
1. **For \( f(0) \)**:
\[
f(0) = 3 - 2(0) = 3 - 0 = 3
\]
2. **For \( f(5) \)**:
\[
f(5) = 3 - 2(5) = 3 - 10 = -7
\]
3. **For \( f(3) \)**:
\[
f(3) = 3 - 2(3) = 3 - 6 = -3
\]
4. **For \( f(2) \)**:
\[
f(2) = 3 - 2(2) = 3 - 4 = -1
\]
Now we can summarize the outputs:
- \( f(0) = 3 \)
- \( f(5) = -7 \)
- \( f(3) = -3 \)
- \( f(2) = -1 \)
The largest output among these values is \( f(0) = 3 \).
Thus, the input that generates the largest output when evaluating the function is **0**.
1. **For \( f(0) \)**:
\[
f(0) = 3 - 2(0) = 3 - 0 = 3
\]
2. **For \( f(5) \)**:
\[
f(5) = 3 - 2(5) = 3 - 10 = -7
\]
3. **For \( f(3) \)**:
\[
f(3) = 3 - 2(3) = 3 - 6 = -3
\]
4. **For \( f(2) \)**:
\[
f(2) = 3 - 2(2) = 3 - 4 = -1
\]
Now we can summarize the outputs:
- \( f(0) = 3 \)
- \( f(5) = -7 \)
- \( f(3) = -3 \)
- \( f(2) = -1 \)
The largest output among these values is \( f(0) = 3 \).
Thus, the input that generates the largest output when evaluating the function is **0**.