Question

Compare the functions shown below:

Which function has the greatest y-intercept?


A. f(x)


B. g(x)


C. h(x)


D. All three functions have the same y-intercept

Answer 1

C. h(x)

Explanation:

Answer 2

The intersection with the y axis occurs when x = 0.
We have then:

For f (x):

`f (0) = -3 (0) - 5 f (0) = 0 - 5 f (0) = - 5`

For g (x):
We can observe in the graph that when x = 0, the value of the function cuts to the y axis in y = -3

For h (x):

`h (0) = 2cos (2 (0) -\pi) +4 h (0) = 2cos (0-\pi) +4 h (0) = 2cos (-\pi) +4`

`h (0) = 2 (-1) +4 h (0) = -2 + 4 h (0) = 2`

Therefore, the graph with the intersection with the largest y axis is h (x)

Answer:
the greatest y-intercept is for:
C. h(x)