Question

Which statement is true regarding the graphed functions?

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).

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

Answer 1

A

Explanation:

Answer 2

f(0) = g(0)

Explanation:

• if a function h(x) passes through [a,b] then it can be said that h(a)=b.

• given that, g(x) passes through (-2,0) and (0,4)

so, g(-2)=0, g(0)=4.

• f(x) passes through (0,4) and (2,0)

so, f(2)=0, f(0)=4.

• therefore, f(0)=g(0)=4.

• so, first option is correct.