**Answer:**

The y-intercepts of both functions are the same and the function f(x) has a greater slope than the function g(x)

**Step-by-step explanation:**

we know that

The formula to calculate the slope between two points is equal to

**step 1**

Determine the slope of the function f(x)

take two points from the table

(0,1) and (2,9)

substitute in the formula

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this problem the point (0,1) is the y-intercept

so

**step 2**

Determine the slope of the function g(x)

we have

This is the equation of the line in slope intercept form

where

m is the slope

b is the y-intercept

so

In this problem

**step 3**

Compare the y-intercepts and slopes

The y-intercepts of both functions are the same and the function f(x) has a greater slope than the function g(x)