Question
Naming, Evaluating, & Interpreting Functions Quick Check
3 of 53 of 5 Items
Question
Evaluate the function for the following input: f(x)=3−2x. Which input generates the largest output when evaluating the function?(1 point)
Responses
f(2)
f left parenthesis 2 right parenthesis
f(5)
f left parenthesis 5 right parenthesis
f(0)
f left parenthesis 0 right parenthesis
f(3)
f left parenthesis 3 right parenthesis
Skip to navigation
Answers
GPT-4o mini
To find which input generates the largest output for the function \( f(x) = 3 - 2x \), we can evaluate the function at each of the given inputs.
1. **Evaluate \( f(2) \)**:
\[
f(2) = 3 - 2(2) = 3 - 4 = -1
\]
2. **Evaluate \( f(5) \)**:
\[
f(5) = 3 - 2(5) = 3 - 10 = -7
\]
3. **Evaluate \( f(0) \)**:
\[
f(0) = 3 - 2(0) = 3 - 0 = 3
\]
4. **Evaluate \( f(3) \)**:
\[
f(3) = 3 - 2(3) = 3 - 6 = -3
\]
Now, we can summarize the outputs:
- \( f(2) = -1 \)
- \( f(5) = -7 \)
- \( f(0) = 3 \)
- \( f(3) = -3 \)
Among these values, the largest output is:
\[
f(0) = 3
\]
Thus, the input that generates the largest output is **\( f(0) \)**.
1. **Evaluate \( f(2) \)**:
\[
f(2) = 3 - 2(2) = 3 - 4 = -1
\]
2. **Evaluate \( f(5) \)**:
\[
f(5) = 3 - 2(5) = 3 - 10 = -7
\]
3. **Evaluate \( f(0) \)**:
\[
f(0) = 3 - 2(0) = 3 - 0 = 3
\]
4. **Evaluate \( f(3) \)**:
\[
f(3) = 3 - 2(3) = 3 - 6 = -3
\]
Now, we can summarize the outputs:
- \( f(2) = -1 \)
- \( f(5) = -7 \)
- \( f(0) = 3 \)
- \( f(3) = -3 \)
Among these values, the largest output is:
\[
f(0) = 3
\]
Thus, the input that generates the largest output is **\( f(0) \)**.