Question

PLEASE HELP I AM DESPERATE!!! MARK AS BRAINLIEST!!!!
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)

Answer 1

g(x) = 4x − 5 is a linear function (graph is a straight line), with slope 4. Knowing how to identify the slope is an essential skill.

If g(x) is represented by this table:

x f(x)

−1 −6

0 −3

1 0

and we have a reasonable expectation that this is a linear function, then we can choose any 2 points and find the slope of the line connecting them. For example, we'll find the slope connecting (-1, -6) and (1,0).

0-(-6)

It is: m = ------------ = 3

1-(-1)

So the slopes of these 2 linear functions are not the same.

The equation of g(x) is y = 3x - 3. In the table, note that when x=0, y= -3.

The y-intercept -3 of g(x) is identical to the y-intercept -3 of f(x).