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
Accepted Solution
A:
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)