anonymous
  • anonymous
Help por favor! Algebra 2!!
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Compare & contrast these four functions using complete sentences. Focus on the slope & y-intercept first, and then on any additional properties of each function.
Hero
  • Hero
Well, at first glance, we can see that the diagram presents the four different ways to express a function: 1. Verbally 2. Numerically 3. Graphically 4. Algebraically
Hero
  • Hero
The next thing to observe would be to notice that each are linear functions.

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Hero
  • Hero
From there, you can began to point out more specific things like slope and y-intercept. And whether the functions are increasing or decreasing.
anonymous
  • anonymous
How do you do that?
Hero
  • Hero
If you were asked to come up with a linear expression for f(x), do you think you could do it?
anonymous
  • anonymous
Nope. Idk what a linear expression is.
Hero
  • Hero
A linear expression is the part of a linear function that includes the slope and the y-intercept. For example, the linear function f(x) = `mx + b` has slope, m, and y-intercept, b. The mx + b is the linear expression.
Hero
  • Hero
For example if you had f(x) = 7x + 3, then 7 = m, and b = 3 are the slope and y-intercept respectively.
anonymous
  • anonymous
Oh okay
Hero
  • Hero
All you have to do is convert each of your given functions to algebraic form, then explain how you did it. You know that if the slope is positive, then it is increasing. If the slope is negative, then it is decreasing.
Hero
  • Hero
Also, for the table, to find the slope you need to use the slope formula and the slope-intercept formulas to write its algebraic form: Slope Formula \[m = \frac{y_2 - y_1}{x_2 - x_1}\]\[y = mx + b\]
Hero
  • Hero
Just remember that for the table function \(y = h(x)\)
anonymous
  • anonymous
Thank you :)
Ness9630
  • Ness9630
Didn't Hero already help?
Hero
  • Hero
@ExtremeAnon, were you able to come up with the expression for the first function?
anonymous
  • anonymous
Hi sorry my computer froze & I was eating dinner. No, I wasn't able to. I'm still confused. It's just no clicking in my head :P
anonymous
  • anonymous
@Hero
Hero
  • Hero
Initially, Jessie got $5 from his dad, then each time he walks his dog, he gets $2. For this, you start by making a table: x = how many times he walks the dog y = how much he got paid in total x|y 0|5 1|7 <1st time he walks the dog> 2|9 <2nd times he walks the dog> 3|11 <3rd time he walks the dog>
anonymous
  • anonymous
mhmm
Hero
  • Hero
If you graph those points, it will be much clearer to see. The goal is to figure out the slope and y-intercept.
anonymous
  • anonymous
i know how to figure those out i'm just not sure what kind of answer my teacher is looking for
Hero
  • Hero
You should include the following observations in your answer: 1. The different ways the functions are presented (verbally, numerically, graphically, algebraically) 2. Acknowledge that each are linear functions 3. Write each function in their algebraic forms and express explicitly what their slopes and y-intercepts mean. 4. Observe whether or not the functions are increasing or decreasing. That should be enough. These are only linear functions, so there is not much more you can describe beyond that.
anonymous
  • anonymous
Okay, thank you :)

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