Compare the functions shown below:
f(x) = -3x + 2

h(x) = 4 sin(2x + Pi) + 3

This shows that the function that has the greatest y-intercept is h(x) = 4 sin(2x + Pi) + 3

The y-intercept of the functions is the point where x = 0.

For the expression f(x) = -3x + 2

when x = 0

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

f(0) = 2

Hence the y-intercept of the function f(x) = -3x + 2 is 2

For the expression h(x) = 4 sin(2x + Pi) + 3

when x = 0

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

This shows that the y-intercept of the function h(x) = 4 sin(2x + Pi) + 3 is 3

This shows that the function that has the greatest y-intercept is h(x) = 4 sin(2x + Pi) + 3

Learn more on y-intercept here:

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