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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
−11
0
−1
1
9
g(x)

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). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Respuesta :

slope for f(x):
[tex]m=\frac{9-(-1)}{1-0}=10[/tex]

Slope for g(x)
y = mx + b
y = 5x + 1
m = 5

The slope for f(x) is twice the slope of g(x).

B. f(x)'s y-intercept is -1 because y = -1 when x = 0. g(x)'s y-intercept is 1 because 1 is in the "b" spot in y = mx + b. g(x) has the greater y-intercept.

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