Question

Which graph represents the function below?

h(x) = {-2x + 3, if x < 1
h(x) = {2x - 1, if x ≥ 1

Answer 1

It's the first image. (The one that looks like V)

Answer 2

First graph.

Explanation:

Notice that in the piecewise functions, both parts have opposite slopes 2 and -2, that means the lines are perpendicular.

Also, the negative slope line must intercept y-axis at (0,3).

The positive slope line must intercept y-axis at (0,-1).

Additionally, the function indicates that to every x-value less than 1, the function is a decreasing line. And, for every x-value greater or equal than 1, the function is an increasing line.

Therefore, the first graph, represents the given piecewise function, because it has all the characteristics indicated by the function.