Answer:
function A
Step-by-step explanation:
First, we need to find the function of A. USing the coordinate points (0, 10) and (2,8)
Since y = mx+c
m = y2-y2/x2-x1
m = 8-10/2-0
m = -2/2
m = -1
From the coordinate (0, 10), the y-intercept is 10 i.e c = 10
The required equation is y = -x + 10
x intercept occurs at where y = 0
0 = -x+10
x =10
Hence the x-intercept of function A is 10
For Function B y = -2x^2 + 1
when y = 0
0 = -2x^2 + 1
2x^2 = 1
x^2 = 1/2
x = 1/√2
Hence the x intercept is 1/√2
Hence the function that has a greater y-intercept is function A