Question

Please help me answer this question!

Answer 1

Answer:

D. -3 and 3

Step-by-step explanation:

We are given an output of 2. This means this is the value we need an input for. We need to find a number(s) that lie on the x axis and when we move up, you get an output of 2.

Option A:

If we are given an input of -2, we start at (-2, 0) and move up until we reach a point on the line. We end up lying on the point (-2, 3). Thus, the output for having an input of -2 is 3 which proves that this answer is incorrect.

Option B:

As stated above -2 has an output of 3 which is wrong. Since we know this, we can eliminate this as an option.

Option C:

If we are given an input of -3, we start at (-3, 0) and move up until we reach a point on the line. We end up lying on the point (-3, 2). Thus, the output for having an input of -2 is 2 which proves that this answer is correct.

Option D:

We know that -3 is a possible input so we just need to check 3 as an input.

If we are given an input of 3, we start at (3, 0) and move up until we reach a point on the line. We end up lying on the point (3, 2). Thus, the output for having an input of 3 is 2 which proves that this answer is also correct.

Since we know that -3 and 3 are possible inputs for an output of 2 on the graph, we need to include them both in our answer. Thus, the answer is D.

Best of Luck!