Question

A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 2, 4), (0, 2), and the point (1, 1). The other line is labeled g(x) and passes through (negative 3, negative 3), (0, 0) and the point (1, 1).
Which input value produces the same output value for the two functions on the graph?

x = −1
x = 0
x = 1
x = 2

Answer 1

x = 1

Reason: f(x) = -x + 2 (from points (0,2) and (1,1)) and g(x) = x (from (0,0) and (1,1)). Solving -x + 2 = x gives x = 1. Also both give the point (1,1).