Question

The table below represents a linear function f(x) and the equation represents a function g(x):


x f(x)
-1 -9
0 -1
1 7
g(x)
g(x) = 3x - 2

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

dude we have the same question xD

Answer 2

anybody?? T3T

Answer 3

First function f(x)...\[slope = \frac{ y2-y1 }{x2-x1 }\] Let f(x) is the same as y. So waht is the slope?

Answer 4

@phi @Compassionate @iPwnBunnies

Answer 5

Use the slope formula Nelson gave you.
Use two corresponding y-values and x-values on the table for f(x) to find the slope of that equation. Compare it to the slope of g(x).

Answer 6

Also, the y-intercept is the value of the function when x = 0

Answer 7

-9 and -1 for the Ys and 0 and -1 for the Xs?

Answer 8

Yeah, make sure you match them with the subscripts though. (0, -1) is (X1,Y1) and (-1, -9) is (X2,Y2)

Answer 9

OH

Answer 10

hmmm so then whats after that? i have this so far -> -9 and -1 for the Ys and 0 and -1 for the Xs for slope=y1-x1 over y2-x2.

Answer 11

No, look again.
\[slope = \frac{Y2 - Y1}{X2 - X1}\]

Answer 12

-9 and -1 for the Ys and 0 and -1 for the Xs for slope=y2-y1 over x2-x1.

Answer 13

Yes. Make sure they're in the right order, again! XD

Answer 14

is that all i put for A?

Answer 15

Yeah, that is part of A. And you'll also need to determine the slope of g(x). And compare the two slopes.

Answer 16

oh crap >.<

Answer 17

alright so how do i do that?

Answer 18

How to do what? xD you didn't even find the slope for f(x) yet.
Plus, function g(x) is written in slope-intercept form:
\[y = mx + b\]
Where 'm' is the slope of the function.

Answer 19

yeah i meant how do i find the slope for -9-1 over 0-1

Answer 20

Argh. You wrote it wrong again. >.<
Ok. Let (X1, Y1) be the point (0, -1), as seen in the table
(X2, Y2) is point (-1, -9)

\[slope = \frac{-9 - (-1)}{-1 - 0} = \frac{-8}{-1} = 8\]

Answer 21

ok got it so then is it f(x)=blank then compare that with g(x) = 3x - 2

Answer 22

The slope of f(x) is 8, it is a line.
And the slope of g(x) is 3.
The bigger the slope, the steeper the line.

Answer 23

and that would be the comparison correct?

Answer 24

so then how bout for B)

Answer 25

Mhm.

Answer 26

For Part B, find the y-intercept for each function. Set x = 0, find the y-intercept. Compare them.

Answer 27

the f(x) has a greater y-intercept because it has a steeper slope going from right to left?

Answer 28

Nooo. The slope and y-intercept don't depends on each other. Just find the y-intercept of each function. .-.
The higher y-intercept just means it crosses the y-axis at a higher value.