Question

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −11
0 −1
1 9

g(x) = 5x + 1



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).

Part B: Which function has the least y-intercept? Justify your answer.

Answer 1

The slope of f(x) is 10 because on the y-value side you add 10 each time and one the x-value side you add 1 each time, so the resulting slope is 10. The slope of g(x) is 5. F(x) has the least y-intercept because when x is 0, y is -1. In g(x) the y-intercept is 1, so f(x) has the least y-Intercept.