anonymous
  • anonymous
Algebra help please? Compare and contrast these four functions using complete sentences. Focus on teh slope and y-intercept first, and then on any additional properties of each function. I alread have some of it, but I need some help.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Here are the four functions:
anonymous
  • anonymous
give me answer chice
anonymous
  • anonymous
I already have that f(x) = 2x + 5 and it gives me j(x) = 2x - 5. I think g(x) = 4x - 8 and h(x) = 2x - 1 but I'm not sure of those two are correct.

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anonymous
  • anonymous
It's an essay question, not multiple choice
anonymous
  • anonymous
idk
anonymous
  • anonymous
@Nnesha Do you think you can help?
Nnesha
  • Nnesha
for h(x) line is increasing or decreasing ?
anonymous
  • anonymous
decreasing
anonymous
  • anonymous
It's starting at the five and going over 1 and down 2. I don't know how to write that though.
Nnesha
  • Nnesha
so what does it means ?
Nnesha
  • Nnesha
slope would be what ?
anonymous
  • anonymous
1/2?
Nnesha
  • Nnesha
nope if line is decreasing then slope would be negative
anonymous
  • anonymous
Oh yeah, so it'd be -1/2?
anonymous
  • anonymous
yes
Nnesha
  • Nnesha
nope 2 is right slope is rise over run = 2/1 =2 it's decreasing so would be negative
anonymous
  • anonymous
Oh okay. So the function would be h(x) = 5x - 2?
Nnesha
  • Nnesha
hmm y-intercept is a point where line intersect y-axis y=mx+b where m is slope b is y-intercept
anonymous
  • anonymous
y = mx + b sooo h(x) = -2x + 5
Nnesha
  • Nnesha
yes right
anonymous
  • anonymous
Okay, thank you. Now what about the g(x) function. Did I get that equation right?
Nnesha
  • Nnesha
nope slope and y-intercept both are wrong try again show ur work so i can find out the mistakes :=)
anonymous
  • anonymous
Well I said it was g(x) = 4x - 8 because under the x column it is increasing by 4 and under the g(x) colume it is increasing by -8.
Nnesha
  • Nnesha
x isn't increasing by 4 would you add 4 with -2 to get 2 ?
anonymous
  • anonymous
Yes... -2 + 4 = 2 then 2 + 4 is 6
anonymous
  • anonymous
Even my calculator says that -2 + 4 is 2
Nnesha
  • Nnesha
hmm that's not a good way to find slope you should use slope formula
Nnesha
  • Nnesha
y-intercept isn't 8
anonymous
  • anonymous
g(x) is increasing by -8 though. -1 - 8 = -9 and -9 - 8 = -17
Nnesha
  • Nnesha
that's not right slope isn't 4 use the slope formula \[\huge\rm \frac{ y_2 -y_1 }{ x_2 -x_2 }\]
Nnesha
  • Nnesha
wait a sec i see
anonymous
  • anonymous
I don't have coordinates so I can't use that formula.
Nnesha
  • Nnesha
that's the difference of y's and x's y's =-8 x's = 4
Nnesha
  • Nnesha
so replace y_2 -y_1 = -8 and x_2 - x_1 =4 that would give you slope
anonymous
  • anonymous
I don't understand what you're telling me to do.
Nnesha
  • Nnesha
|dw:1441982763195:dw| coordinates
Nnesha
  • Nnesha
you can use the table to find slope (-2 ,-1)(2,-9)(6,-17) are coordinates
Nnesha
  • Nnesha
slope formula is \[\huge\rm \frac{ difference~of~y }{ difference~of~x }=\frac{ y_2-y_1 }{ x_2-x_1 }\]
anonymous
  • anonymous
Oh! Okay so... y2 - y1 / x2 - 1 -9 - (-1) / 2 - (-2) = -8 / 4 simplified would be... -2
anonymous
  • anonymous
So -2 is my slope?
Nnesha
  • Nnesha
and you said x is increasing by 4 and y increasing by -8 that's difference between y and x's \[\huge\rm \frac{ difference~of~y }{ difference~of~x }=\frac{ y_2-y_1 }{ x_2-x_1 }=\frac{-8}{4}\]
Nnesha
  • Nnesha
yes right
anonymous
  • anonymous
Now how do I figure out my y-inercept? Do I just use -8? So my function would be: g(x) = -2x - 8
Nnesha
  • Nnesha
nope use on of the order pair (x,y) plug that into the equation y =-2x+b
Nnesha
  • Nnesha
one*
anonymous
  • anonymous
So my function is g(x) = -2x - 5, right?
Nnesha
  • Nnesha
looks good
anonymous
  • anonymous
Omg, thank you so much!!! You are the best
Nnesha
  • Nnesha
yw good work!
anonymous
  • anonymous
Do you mind checking a question for me? I already did it but I'm not sure if it's right.

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