Compare the functions shown below:
using complete sentences, explain which function has the greatest y-intercept.

The function that has the greatest y-intercept is g(x)

Step-by-step explanation:

we know that

The y-intercept is the value of the function when the value of x is equal to zero

Find the y-intercept of each function and then compare the results

step 1

Find the y-intercept of f(x)

f(x)=4x-1

For x=0

substitute

f(0)=4(0)-1=-1

The y-intercept is the point (0,-1)

step 2

Find the y-intercept of g(x)

Observing the graph

For x=0

The y-intercept is the point (0,2)

step 3

Find the y-intercept of h(x)

h(x)=cos(x+2π)

For x=0

substitute

h(0)=cos(0+2π)=1

The y-intercept is the point (0,1)

step 4

Compare the results

The function that has the greatest y-intercept is g(x)

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step-by-step explanation:

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