Question

• Create your own piecewise function with at least two functions. Explain, using complete sentences, the steps for graphing the function. Graph the function by hand or using a graphing software of your choice (remember to submit the graph).

Answer 1

Okay this concept is not bad

Create 2 equations

One can be linear and the other quadratic

Answer 2

hmmmmmm 2 equations hmmmmmmmm

Answer 3

You can use like

y=7x+1 and y=x^2

Answer 4

okie can i just use these ones u gave me or do you prefer me making one my self e.e

Answer 5

You can use mine but they came out of the top of my head XD

Answer 6

XD thats okie so once we have the 2 equations what next e.e

Answer 7

Okay just checked for an easier one to graph, let’s use

y=4/5x+1 and
y=1/5x^2

Answer 8

alright e.e

Answer 9

Okay let’s make the linear equation be from negative infinity to -1

The parabola would go from -1 to infinity

Answer 10

y=4/5x+1 this = -1? on my graph it equal 1 e.e like (0,1)

Answer 11

Yep

So piecewise defined means that they are limited at certain points

https://www.desmos.com/calculator/aisvl8r4fr

So in here I made it so that the line goes until -1 and the parabola starts at -1

Answer 12

Ok what next

Answer 13

I already did the last step, but we have to describe how to draw it

Do you know how to describe it? or do you need help?

Answer 14

it says i can use the picture of the graph thats what imma do is just screen shot the graph and add it

Answer 15

oh are you talking about the the steps for graphing the function.

Answer 16

Yeah

Answer 17

ohh okie then i might need some help but ill do my best to do it my self

Answer 18

Okay

Answer 19

In this graph the equations \[y=\frac{ 4}{ 5 }x+1\left\{ x \le -1 \right\}\] and \[y=\frac{ 1 }{ 5 }x^2\left\{ x \ge -1 \right\}\] are set to make the line go until -1 and then the
parabola will start at -1 this would create a curve going up then line that decreases down

Answer 20

hows this im probably wrong but what u think

Answer 21

Well technically its not bad but I think teachers are looking more at the order at which they are drawn

Tip with LaTeX: If you don't want it to create new large lines, use `\(\)`, not `\[\]`


An example ¶, might want to change this
We start out at (-1,\(\large \frac15\)) and start going left 4 and down 5 units, plot a point at (-6,- 3.8). We draw an arrow because it goes on forever. Now for the second equation we start out at (-1,\(\large \frac15\)) and substitute values into the equation like x= 0 and x=1. After that we continue drawing the parabolic shape forever since it goes on forever



Note, we can limit this all from \(\mathbb D\): -5 \(\le x\le 1\) too make the response easier to explain

Answer 22

what does that mean "we can limit this all from D"

Answer 23

help me dude I don't understand

Answer 24

https://www.desmos.com/calculator/zv95cu5rsv
We can limit how far it extends (D is the domain)

Answer 25

help

Answer 26

I only have three hours and I'm also doing other homework

Answer 27

We start our graph at (-1,15) when doing this it start going left 4 and down 5 units. Once we have plotted a point at (-6,- 3.8). We drew an arrow because it goes on forever. For the second equation we start out at (-1,15) and substitute values into the equation like x= 0 and x=1. After that we continue drawing the parabolic shape forever since it goes on forever. Since it goes on forever We can limit how far it extends.

Answer 28

@dude Hows this for the final product e.e

Answer 29

Good

Answer 30

YAY!!! THANK YEW SO MUCH DUDEEE

Answer 31

No problemo