Question

On a coordinate plane, a red line, labeled g of x, begins on a negative slope, crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and crosses the x-axis on a positive slope at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 2) and the x-axis at (2, 0).
Which statement is true regarding the functions on the graph?

f(2) = g(2)
f(0) = g(0)
f(2) = g(0)
f(0) = g(2)

Answer 1

f(2) = g(2)

Explanation: f(2) = 0 (the blue line crosses the x-axis at (2,0)) and g(2) = 0 (the red graph also crosses the x-axis at (2,0)), while f(0) = 2 and g(0) = −2, so the other equalities are false.