Compare the functions shown below: f (x) = 4x + 5 g (x) tangent function with y intercept at 0, 2 h (x) = 3 sin (2x + π) - 2 Which function has the greatest y-intercept?

The y-intercept of the graph of a function is the value of f (0) for any function f.

That is, it is the y-value in the pair (0, y)

The y-intercept of f (x) = 4x + 5 is f (0) = 4*0+5=5

The y-intercept of (0, 2) is 2.

The y-intercept of h (x) = 3 sin (2x + π) - 2 is:

h (0) = 3 sin (2*0 + π) - 2=3 sin (π) - 2=3*0-2=-2

Answer: The function f has the greatest y-intercept.