The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −6 0 −3 1 0 g(x) g(x) = 4x − 5 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)

Part A:

To find the slope of f(x), use the following formula to find the slope:

Choose any two points from the table. We'll use (-1, -6) and (1, 0):

The slope of f(x) is 3.

g(x) uses slope intercept form, which uses the following formula:

m is the slope, and b is the y-intercept of the function.

g(x) is equal to 4x - 5. The coefficient for x is 4, which is the slope of the function. The slope is 4.

Compare the two slopes:

The slope of g(x) is bigger than the slope of f(x).

Part B:

The y-intercept is found when x is equal to 0.

f(x) already has a value for when x = 0: the y-value is -3.

g(x)'s y-intercept is found by the value of b in the function. The value of b in this function is -5.

Compare the two y-intercepts:

f(x) has the greater y-intercept.

answer: the first graph

step-by-step explanation:

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step-by-step explanation:

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