Question

Select all that are true using f(x) = -3x - 21 (Choose 3) Of(0) = -21 and f(3) = -30 Of(1) = -18 and f (4) = 33 Of (7) = -42 and f(-27) = 60 Of (30) = -111 and f(-12) = 15 Of(2)=-27 and f(-5) = 36

Answer 1

We evaluate the given function at various input values to determine which options satisfy the function's conditions.

Step-by-step explanation:

The question asks us to select three true statements using the function f(x) = -3x - 21. We need to evaluate the function at different input values and compare it to the given output values. Let's go through each option and check if it satisfies the conditions of the function:

1. Of(0) = -21 and f(3) = -30: The first option is correct. When we substitute 0 into the function, we get -21, and when we substitute 3, we get -30.
2. Of(1) = -18 and f(4) = 33: The second option is not correct. When we substitute 1 into the function, we obtain -18, but when we substitute 4, we get -33, not 33.
3. Of(7) = -42 and f(-27) = 60: The third option is incorrect. When we input 7 into the function, we obtain -42, but when we input -27, we get -36, not 60.
4. Of(30) = -111 and f(-12) = 15: The fourth option is not correct. When we substitute 30 into the function, we obtain -111, but when we substitute -12, we get -51, not 15.
5. Of(2) = -27 and f(-5) = 36: The fifth option is correct. When we input 2 into the function, we obtain -27, and when we substitute -5, we get 36.

Based on our analysis, the three true statements are:

• Of(0) = -21 and f(3) = -30
• Of(2) = -27 and f(-5) = 36

Learn more about Evaluating a function