Question

Which of the following rules describes the function graphed below? On a coordinate plane, points are at (negative 1, 1), (1, 2), (3, 3), (5, 4). a. Output = Input c. Output = (0.5)(Input) + 1.5 b. Output = (2)(Input) – 3 d. Output = (1.5)(Input) + 3 Please select the best answer from the choices provided A B C D

Answer 1

B. Output = (2)(Input) – 3.

Explanation:

The correct answer is B. Output = (2)(Input) – 3.

This is because the function is a linear function, and the slope is 2 and the y-intercept is -3.

You can see this by considering the difference in y for each pair of points and the difference in x for each pair of points.

For example, from (negative 1, 1) to (1, 2) the difference in y is 1 and the difference in x is 2.

This means the slope is 1/2 which is the same as 2, and the y-intercept is -3