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

(d) x > 2

Explanation:

You want the sensible domain of x if x is the length of a poster whose width is (x-2).

Width

The width (x-2) needs to be positive, so we require ...

x -2 > 0

x > 2 . . . . . length must be greater than 2 inches for width to be positive