Question

Compare the functions shown below:

Answer 1

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)