Question

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) = 4x + 3



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 a greater y-intercept? Justify your answer.

Answer 1

For f(x), slope = (y2 - y1)/(x2 - x1) = (-1 - (-5))/(0 - (-1)) = (-1 + 5)/(0 +1) = 4/1 = 4.
For g(x), g(x) = mx + c; where m is slope. Hence slope is 4.

For f(x), y-intercept is -1 and for g(x), y-intercept is 3

Therefore, g(x) has greater y-intercept.