Question

please help! this one is hard :\

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 think the y-intercept for f(x) is -4

Answer 2

You are correct, but are there any other graphs to compare to?

Answer 3

no, those are the four I have to compare.

Answer 4

Ohhh I didn't even notice the others

Answer 5

lol yeah there are three others.

Answer 6

So what can you say about the others? Specifically their y-intercepts and slopes.

Answer 7

Start with the 3x-4 part. What are the slope and y-intercept?

Answer 8

the slope is 3x right? and the y-intercept would also be -4? I'm not very good at this.

Answer 9

Slope is the coefficient in front of the x for our intents and purposes (unless you know what a derivative is), and y-intercept is what y equals when x=0, so that part is correct. The slope would be 3, however.

Answer 10

ohhhh okay. I see. so f(x) and g(x) have the same y-intercept.

Answer 11

Yep, but their slopes aren't the same. What is the slope of the graph?

Answer 12

the slope of f(x) is 3/-1?

Answer 13

Looks that way to me. Now what is the slope of h(x)?

Answer 14

Hmmm I'm not sure.

Answer 15

Sometimes the x axis is replaced by units of time instead. How many days pass between the two known points?

Answer 16

1 day has passed and 3 apples are gone. soo -3?

Answer 17

Yupp, you caught on quickly ^^

Answer 18

awesome! what would be the y-intercept tho?

Answer 19

That one is tricky, because we would have to assign a specific day to be the origin.

Answer 20

And there is no way of accurately translating that across the other sets of data.

Answer 21

I guess you can just set Sunday as the x=0 point and project the line there.

Answer 22

So if we went back in time, how many apples would you assume to be there on Sunday, given the pattern?

Answer 23

there was probably 6 apples

Answer 24

oops.

Answer 25

I think there would be 7, because 3 vanished after one day, so instead we would give 3 back. 4+3=7

Answer 26

Probably just a silly mistake on your part =P

Answer 27

yeah that's what I meant lol I miscounted xP

Answer 28

Happens. Now the last one is easy. Just project the data when x=0

Answer 29

Use the patterns you see to estimate what number to expect at that time

Answer 30

I really need to go now, but I'll give you the answer to check your work with. Slope is 3, and y intercept is 4

Answer 31

Good luck in mathssss!

Answer 32

Thank you soo much for all of your help! I really appreciate it! here is a medal :) Good night!