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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

1 answer

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:

  • \( f(-1) = 2 \)
  • \( f(0) = 3 \)