Question

Which function has the greater x-intercept Function A X, 0,2,4,6 Y, 10,8,6,4 Function B y = -2x^2 + 1

Answer 1

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