Question

Use the four functions below for this question:
Compare and contrast these four functions using complete sentences. Focus on the slope and y-intercept first, and then on any additional properties of each function.

Answer 1

I've been reviewing this question for awhile and I could really use the help. Thanks in advance! And if you could explain it so I can do it on my own in the future that would be greatly appreciated.

Answer 2

hmmm i think it'd be convenient if we turned all these functions into a common form (to look the same)
let's turn it into slope intercept for all :)

Answer 3

Okie dokie.

Answer 4

f(x)=2x+5
2x because he gets $2 every time he walks the dog (the x is for each time)
+5 because that is the money he got from his dad (no x because his dad gave him the money only 1 time)
Can you tell me the 2nd one? ;)

Answer 5

and if i say anything confusing, please let me know :)

Answer 6

Okay thank you :) for the second one...

Answer 7

slope intercept is y=mx+b
now with this chart how to I plug that in?

Answer 8

You'd plug in all the ones in the right side into the "y"
so...
we'll use the first coordinate as an example
-2=mx+b

Answer 9

and the "m" means slope, so using the numbers they gave us, we can find the slope by using the slope formula

Answer 10

-1 would be the slope?

Answer 11

nope, -1 would be the "y"

Answer 12

ohhh yeah i'm sorry i meant to put in the -1 instead

Answer 13

for the y

Answer 14

thanks for catching that

Answer 15

so it would be -1 = m(-2) + b?

Answer 16

yes for now :) but the reason we're doing it this way is to find the m, and the b

Answer 17

to find the m, we'd use the slope formula, which is:
https://www.google.com/search?q=slope+formula&source=lnms&tbm=isch&sa=X&ei=yIA8UtbrPIa48wT3_IDQCA&ved=0CAkQ_AUoAQ&biw=1600&bih=799&dpr=1#facrc=_&imgdii=_&imgrc=lADsnHH-F0UfJM%3A%3B6tmJ2mPqtHu1kM%3Bhttp%253A%252F%252F0.tqn.com%252Fd%252Fcreate%252F1%252F0%252F9%252Fp%252FC%252F-%252Fslopeformula.jpg%3Bhttp%253A%252F%252Fmath.about.com%252Fod%252Fallaboutslope%252Fss%252FFind-Slope-With-Formula-JW.htm%3B828%3B384

Answer 18

Oooh... okay hold up just a sec lol

Answer 19

dang it im lost again. what numbers am I plugging in this? what are the four values I mean. :P

Answer 20

we can use any we want, we'll use:
(-2,-1) and (2,-9)
(x1,y1) (x2,y2)

Answer 21

And before we continue, for that first one... we said f(x) 2x+5now should I leave it the way it is or how would I go about solving this?

Answer 22

we'll leave like that :) we are trying to get all the functions to look like that so it'd be easier to compare them

Answer 23

oh okay gotcha. I can work on that now :)

Answer 24

alright so I got 10 over 4... right? lol

Answer 25

-10 over 4

Answer 26

close :D i think the top one was a little silly mistake ;)