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Station C f(x) = 4x + 1 g(x) = 2x + 1 Find g(x) - f(x) Station D a) Create a table for f(x), which is the...

Station C
f(x) = 4x + 1
g(x) = 2x + 1
Find g(x) - f(x)
Station D
a) Create a table for f(x), which is the f(x) - g(x)
b) Create a table for f(x), which is f(x) - g(x)
Station E
1) Use the graph on the previous slide to draw the graph of f(x) + g(x)

Answer

Station C: To find g(x) - f(x), substitute the expressions for g(x) and f(x):

g(x) - f(x) = (2x + 1) - (4x + 1) = 2x + 1 - 4x - 1 = -2x

Station D:

  1. a) Create a table for f(x) - g(x):
  2. x f(x) - g(x)
    1 -2(1) = -2
    2 -2(2) = -4
    3 -2(3) = -6
    4 -2(4) = -8
    5 -2(5) = -10
    6 -2(6) = -12
    7 -2(7) = -14
    8 -2(8) = -16
    9 -2(9) = -18
  3. b) The question seems to repeat part a, so the table remains the same.

Station E:

1) Use the graph on the previous slide to draw the graph of f(x) + g(x):

f(x) + g(x) = (4x + 1) + (2x + 1) = 6x + 2

Plot the line with slope 6 and y-intercept 2 on the graph.

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