Question

Which function has a greater y-intercept?

Answer 1

Plug r = 0 into the g(r) function to get
g(r) = r+7
g(0) = 0+7
g(0) = 7
So the y intercept of the g(r) function is 7

The y intercept of the h(r) function is 8 as this is the output when the input is 0 (see the first row of the table)

Answer: h has a greater y intercept

Answer 2

By comparing the y-intercept of the two functions, the function with the greater y-intercept is h. Option B

y-intercept of a linear function

The y-intercept of a linear function is the value of the function when the input (in this case, r) is equal to 0.

Let's evaluate the y-intercepts of functions g(r) and h(r):

For function g(r) = r + 7:

g(0) = 0 + 7 = 7

For function h(r):

h(0) = 8

Comparing the y-intercepts, we can see that g(r) has a y-intercept of 7, while h(r) has a y-intercept of 8.

Therefore, the function with the greater y-intercept is B. h.