Question

On a coordinate plane titled Area of Maya's Poster, a curved line with a minimum value of (1, negative 1) crosses the x-axis at (0, 0) and (2, 0), and the y-axis at (0, 0).

The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determined by its length (x).

Which value of x makes sense for the length of Maya’s poster?

x < 0
x < 2
x > 0
x > 2

Answer 1

The graph of the poster has a minimum value at (1, -1) and crosses the x-axis at (0, 0) and (2, 0). This means that the length of the poster is greater than 0 and less than 2 since the width of the poster is 2 inches shorter than the length. Therefore, the value of x that makes sense for the length of Maya's poster is:

0 < x < 2

So the correct answer is x > 0 and x < 2.