18.3k views
5 votes
20 PTS! PLEASE HELP ME T^T!! Using complete sentences, explain which function has the greatest y-intercept.

20 PTS! PLEASE HELP ME T^T!! Using complete sentences, explain which function has-example-1
User Deelde
by
7.4k points

2 Answers

2 votes

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.

User Michaelcarrano
by
7.6k points
6 votes

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.

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.

User Jason Ching
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories