Question

20 PTS! PLEASE HELP ME T^T!! Using complete sentences, explain which function has the greatest y-intercept.

Answer 1

Explanation:

The y-intercept is the value of the function at x = 0.

f(0) = -3(0) + 2 = 2

g(0) = -3

h(0) = 4 sin(0 + π) + 3 = 3

h(x) has the greatest y-intercept.

Answer 2

The y-intercept of functions f(x), g(x) and h(x) are 2,-3 and 3 respectively. Therefore the function h(x) has the greatest y-intercept.

Explanation:

The given function is

`f(x)=-3x+2`

Substitute x=0, to find the y-intercept of the function.

`f(0)=-3(0)+2`

`f(0)=0+2`

`f(0)=2`

The y-intercept of the function f(x) is 2.

From the given graph it is clear that the graph of g(x) intersect the y-axis at y=-3.

Therefore the y-intercept of the function g(x) is -3.

The given function is

`h(x)=4\sin (2x+\pi)+3`

Substitute x=0, to find the y-intercept of the function.

`h(0)=4\sin (2(0)+\pi)+3`

`h(0)=4\sin (0+\pi)+3`

`h(0)=4\sin (\pi)+3`

`h(0)=4(0)+3`

`h(0)=3`

The y-intercept of the function h(x) is 3.

The y-intercept of functions f(x), g(x) and h(x) are 2,-3 and 3 respectively. Therefore the function h(x) has the greatest y-intercept.