Question

PLEASE HELP!!!!!!!!!QUICK

1.(03.03 MC) The table below represents a linear function f(x) and the equation represents a function g(x). X F(x) g(x)=5x +1 -1. -11
0. -1
1. 9

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 gx). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points) (10 points)

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Answer 1

For this case we have the following table:
X F(x)
-1 -11
0 -1
1 9
From here, we look for the function f (x).
We then have that as the equation is linear:

`y-yo = m (x-xo)`
Where,

`m = (y2-y1) / (x2-x1) m = (9 - (- 1)) / (1-0)`

`m = (9+1)/(1) m = 10`
We choose an ordered pair:

`(xo, yo) = (0, -1)`
Substituting values:

`y + 1 = 10 (x-0)`
Rewriting:

`y = 10x - 1`
Thus, the function f (x) is:

`f (x) = 10x - 1`
On the other hand, the function g (x) is:

`g (x) = 5x +1`
Answer:
The slope of f (x) is greater than the slope of g (x) (10> 5)
The intersection with the y axis of g (x) is greater than the intersection with the y axis of f (x) (1> -1)