Question

If f(a) = 3a – a^2, which of the following are not true statements?

Select all that apply.

f(-5) = -40
f(-1) = 2
f(4) = -4
f(3) = 0
f(0) = 3

Answer 1

To determine which statements are not true, we will evaluate \( f(a) = 3a - a^2 \) for the given values.

1. **Evaluate \( f(-5) \)**:
\[
f(-5) = 3(-5) - (-5)^2 = -15 - 25 = -40
\]
So, the statement \( f(-5) = -40 \) is **true**.

2. **Evaluate \( f(-1) \)**:
\[
f(-1) = 3(-1) - (-1)^2 = -3 - 1 = -4
\]
So, the statement \( f(-1) = 2 \) is **not true**.

3. **Evaluate \( f(4) \)**:
\[
f(4) = 3(4) - (4)^2 = 12 - 16 = -4
\]
So, the statement \( f(4) = -4 \) is **true**.

4. **Evaluate \( f(3) \)**:
\[
f(3) = 3(3) - (3)^2 = 9 - 9 = 0
\]
So, the statement \( f(3) = 0 \) is **true**.

5. **Evaluate \( f(0) \)**:
\[
f(0) = 3(0) - (0)^2 = 0 - 0 = 0
\]
So, the statement \( f(0) = 3 \) is **not true**.

### Summary of True/Not True Statements
- \( f(-5) = -40 \): **true**
- \( f(-1) = 2 \): **not true**
- \( f(4) = -4 \): **true**
- \( f(3) = 0 \): **true**
- \( f(0) = 3 \): **not true**

### Conclusion
The statements that are **not true** are:
- \( f(-1) = 2 \)
- \( f(0) = 3 \)