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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).

Part B: Which function has a greater y-intercept? Justify your answer.

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1 answer
  1. for f(x), using (0,-1) and (1,3), the slope
    = (3+1)/(1-0) = 4

    and the slope of g(x) = 2x - 7 is obviously 2, so .....
    (write your sentence

    as to part B, isn't (0,-1) your point on the y-axis ?
    and isn't the y-intercept for g(x) = 2x - 7 equal to -7 ????
    so ....

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