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

The intersection with the y axis occurs when x = 0.
 We have then:
 
 For f (x):
 [tex]f (0) = -3 (0) - 5 f (0) = 0 - 5 f (0) = - 5[/tex]

 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):
 [tex]h (0) = 2cos (2 (0) -\pi) +4 h (0) = 2cos (0-\pi) +4 h (0) = 2cos (-\pi) +4[/tex]
 [tex]h (0) = 2 (-1) +4 h (0) = -2 + 4 h (0) = 2[/tex]

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

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