On a certain function machine, an input of 3 has an output of -6. An input of -2 has an output of 4. An input of 0 has an output of 0. Which of the following phrases describes the function rule? Multiply the input by 2.
Multiply the input by -2.
Multiply the input by -1 and then subtract 3.
Multiply the input by -1 and then add 2.

B

Step-by-step explanation:

To answer this question, we can simply go through each of the answer choices and choose the one that matches our inputs and outputs.

Our inputs and outputs are: (3, -6), (-2, 4), and (0, 0).

Choice A: Multiply by 2.

If we input 3 and multiply it by 2, we should get 6. However, we got -6.

Similarly, inputting -2 should yield 2(-2) or -4. However, we got 4.

Therefore, Choice A is not correct.

Choice B: Multiply by -2.

If we input 3 and multiply it by -2, we get -6, which is precisely what we had.

Similarly, inputting -2 yields -2(-2) or 4, again the same.

And inputting 0 yields -2(0) or 0. So, Choice B is correct. However, let’s go through the last two just to confirm.

Choice C: Multiply by -1 then subtract 3.

If we input 3, we will first multiply by -1 which yields -3. Subtracting 3 then yields -3-3 which is indeed -6.

However, inputting 2 gives us 2(-1)=-2-3=-5, not 4. Therefore, Choice C is not correct.

Choice D: Multiply by -1 then add 2.

If we input 3, we will first multiply by -1 which yields -3. Adding 2 then yields -1. This is not the same as the original output. Therefore, Choice D is not correct.

Therefore, our answer is B.

false

step-by-step explanation:

4y - 6 + 4y^2 - 9

before simplifying this contains 4 terms

after simplifying

4y -15 + 4y^2

it contains 3 terms

30

step-by-step explanation:

times by times