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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 -9

0 -1

1 7


g(x) = 3x-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).


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


Please hurry as I only have a few hours left too turn in :) Thank you.

1 Answer

4 votes

Answer:

Use 2 points from he table to find the slope of f(x):

  • (0, -1) and (1, 7)

The slope is:

  • m = (7 - (-1))/1 = 8

The y - intercept is b = -1 according to point (0, -1).

Part A

The lines are:

  • f(x) = 8x - 1
  • g(x) = 3x - 2

The f(x) has greater slope since 8 > 3 and greater y-intercept since -1 > - 2.

Part B

See above

User Guido Celada
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