Question

On a coordinate plane, a red curved line with an upward arc, labeled g of x, crosses the x-axis at (negative 2, 0), and the y-axis at (0, 4). A blue curved line with an upward arc, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).
Which statement is true regarding the graphed functions?

f(0) = 2 and g(–2) = 0
f(0) = 4 and g(–2) = 4
f(2) = 0 and g(–2) = 0
f(–2) = 0 and g(–2) = 0

Answer 1

Answer: f(2) = 0 and g(–2) = 0.

Reason: f has an x-intercept at (2,0) so f(2)=0; g has an x-intercept at (−2,0) so g(−2)=0.