Question

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

Answer 1

Step-by-step 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

Answer:

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.

Step-by-step 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.