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

Question

Mathematics

Payten

5 November, 21:40

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

+5

Answers (1)

Know the Answer?

Susannah · Answer 1

f (0) = g (0)

Step-by-step explanations

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.