Question

The functions f(x) and g(x) are graphed.

On a coordinate plane, a curved red line with an upward arc, labeled g of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).



At which points do the two graphs have the same y-value?

f(0) = g(0) and f(2) = g(2)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)

Answer 1

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

Both graphs pass through (0, 4) and (2, 0), so at x = 0 and x = 2 the two functions have the same y-values.