The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −3 0 0 1 3 g(x) g(x) = 7x + 2 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Part A: The slope of g(x) is greater than the slope of f(x).

Part B: Function g(x) has greater y-intercept.

Step-by-step explanation:

The function f(x) passes through the points (-1,-3), (0,0) and (1,3). It means the y-intercept of the function is 0.

If a line passes through two points, then the slope of the function is

Let as consider any two points of the function, (-1,-3) and (0,0).

The point slope form of a linear function is

               .... (1)

Where, m is slope and b is y-intercept.

The slope of f(x) is 3 and y-intercept is 0, therefore the function f(x) is

The given function is

           .... (2)

From (1) and (2), we get

The slope of g(x) is 3 and y-intercept is 2.

Part A: Since the slope of f(x) is 3 and the slope of g(x) is 7, therefore the slope of g(x) is greater than the slope of f(x).

Part B: Since the y-intercept of f(x) is 0 and y-intercept of g(x) is 2, therefore the function g(x) has greater y-intercept.

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