Question

PLEASE HELP I'LL GIVE A MEDAL

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).

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

Answer 1

I have both of the slopes for part A, but I don't know how to "compare them", and I still need help for part B.

Answer 2

Easy, the y-intercept for f(x) is -1, because the table states that it has the point (0, -1).

The y-intercept is what 'y' is when x is 0. And since the table f(x) says that when x is 0, y is -1, then the y-intercept for f(x) is -1.

Answer 3

Since the y-intercept is what y is when x is 0, let's plug in 0 for x in the equation for g(x):

g(x) = 5x + 1

y = 5x + 1

Input 0 for x:

y = 5(0) + 1

Multiply:

y = 0 + 1

Add:

y = 1

Answer 4

f(x)'s y-intercept = -1
g(x)'s y-intercept = 1

1 > -1

Therefore, g(x)'s y-intercept is greater than f(x)'s y-intercept.

Answer 5

So for part B i would put:

Part B: The g(x) has a greater intercept because it is not a negative number.

right? @iGreen?

Answer 6

Thank you so much!!!! :))))