Question

Using complete sentences, explain which function has the greatest y-intercept.

Answer 1

h(x)

Explanation:

The function h(x) has the greatest y-intercept. The y-intercept of a function in the value where the function intersects the y-axis.

The function f(x) is in slope-intercept form. This is f(x)=mx+b, where b is y-intercpet. So, the y-intercept of the function is 2.

For the second function, g(x), you can see the y-intercept by looking at the graph. The function intersects the y-axis at -3.

Finally, the last function is a sin function. For this sine function you can tell the y-intercept is 3 because that is where the midline is (based on the k value).