Question

A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?

graph of function t of x is a curve which joins the ordered pair 0, 1 and 1, 3 and 3, 27. Graph of function p of x is a curve which joins the ordered pair 0, 2 and 1, 3 and 3, 11 and 5, 27 and 6, 38

p(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect
t(x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect
p(x), because an increasing quadratic function will eventually exceed an increasing exponential function
t(x), because an increasing exponential function will eventually exceed an increasing quadratic function

Answer 1

Please!

Answer 2

Hi @nolegirl24. Welcome to Question Cove. How can I assist you with this?

Answer 3

Haii. I can not figure out this problem and I do not understand it either. @Hero

Answer 4

I see. For this question we will use Desmos.com to help us figure this out.

Answer 5

I have a question for you. Does the question specify which which functions is quadratic and which is exponential? If not that's okay.

Answer 6

I am not sure. Sorry

Answer 7

That's okay, we'll go with what we've been given. Allow me to post a link to demos where we can work from.

Answer 8

Okay. Thank you.

Answer 9

https://www.desmos.com/calculator/ahpdjw5hm8

Answer 10

Okay, I plotted the first point. Do you think you can plot the next set of points for t(x)?

Answer 11

Uhh i have no idea what the point for t(x) would be because i am confused on this whole thing.

Answer 12

The given points for t(x) are (0,1), (1,3), and (3, 27).

Answer 13

Okay, so i plot those down?

Answer 14

Yes, go ahead and plot them on Desmos, thanks.

Answer 15

How would i do that?

Answer 16

You just type them in one per line. I typed the first point in the data entry block on the left side of the screen. Do you see where I did that?

Answer 17

Okay, want me to plot the rest for t(x)

Answer 18

Yes please :)

Answer 19

Okie :P

Answer 20

Done.

Answer 21

@Hero All done plotting the points.

Answer 22

Okay, hit save, then copy/paste the link here.

Answer 23

I don't know where it says save. Do i have to sign in?

Answer 24

Yes. Hopefully you have a Google account.

Answer 25

Okie, I do. Give me a second.

Answer 26

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

Answer 27

Okay, good. Let me fix a few things real quick.

Answer 28

Alrighty

Answer 29

https://www.desmos.com/calculator/9npirw78bf

Answer 30

Link opened.

Answer 31

Okay, so basically, all I did what make the points all the same color and correct something. You entered (3, 37) instead of (3,27). I assume that was a typo. Now that you know you to enter points, go ahead and enter all the points for p(x). See if you can do it in the same color. Preferably red.

Answer 32

Yeah it was a typo. Sorry about that. Plot the p(x) points on the graph you just gave me?

Answer 33

How do I know the points for p(x)?

Answer 34

The points for p(x) are (0, 2), (1, 3), (3, 11), (5, 27), and (6, 38)

Answer 35

Alrighty done plotting them.

https://www.desmos.com/calculator/jivn31d6wg
@Hero

Answer 36

Very good

Answer 37

Thanks. What next

Answer 38

We must figure out which function is quadratic and which is exponential.

Answer 39

Alright.

Answer 40

There is a particular method to use to do this

Answer 41

Graphing method?

Answer 42

No. I have already figured out which is which long ago though.

Answer 43

Oh

Answer 44

This is my last question but i cant figure out the answer still :(

Answer 45

t(x) is a straight line while p(x) is not.

Answer 46

?? Are you sure about that? Explain your reasoning.

Answer 47

Btw this is the graph they gave me.

https://learn.flvs.net/webdav/assessment_images/educator_algebraI_v21/09_10_part1_g12_q04.gif

Answer 48

I don't have access to that

Answer 49

oh idk how else to show you

Answer 50

There i got it

Answer 51

Strange because this is what I got for t(x). It's definitely not a straight line:
https://www.desmos.com/calculator/8yyavcexgp

Answer 52

idk :( they gave me that graph to go by.

Answer 53

They're trying to show you that t(x) is the exponential function and it is rising much faster than p(x) the quadratic function.

Answer 54

Alright. So does that mean the answer is D?

Answer 55

Yes, correct. Great job.

Answer 56

Thank you!! <3

Answer 57

The answer was correct :) Thank you again!

Answer 58

There is a way to figure out how to graph each of them. That would help you with answering these.

Answer 59

I got a 93% on the assignment. Thank you @Hero

Answer 60

Great job on your assignment.

Answer 61

Thank you <3