The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 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)

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

F(x) has a greater y-intercept since -1 > -7.

Step-by-step explanation:

Part A: The slope of a function is a ratio that compares the vertical difference of the y values to the horizontal difference of the x values. To find the slope, it is m in y=mx +b or use the formula between two points .

For f(x), use the formula to find slope.

For g(x), the slope is 2.

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

Part B: The y-intercept of the function is the point (0,b) where the function intersects the y-axis. It is also b in y=mx+b.

For f(x), the y-intercept is (0,-1).

For g(x), the y-intercept is (0,-7).

F(x) has a greater y-intercept since -1 > -7.