Compare the functions shown below: g(x) f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3 Using complete sentences, explain which function has the greatest y-intercept.

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Answer:

3 h(x) = 4 sin(2x + π) + 3

Step-by-step explanation:

The function h(x) has a greater y-intercept

How to compare the functions?

The functions are given as:

  • f(x) = -3x + 2
  • h(x) = 4 sin(2x + π) + 3

Set x to 0,to calculate the y-intercepts

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

h(0) = 4 sin(2(0) + π) + 3 = 3

From the above computation, we have:

f(0) = 2

h(0)= 3

By comparison, we have:

h(0) > f(0)

This means that the function h(x) has a greater y-intercept

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