Question

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

@jim_thompson5910

Answer 2

what do you have so far?

Answer 3

Hm. Nothing too spot on.

Answer 4

The graph and equation are the easiest to spot slope and yint, for one thing.

Answer 5

ok tell me what those are

Answer 6

f(x): yint=-4, m=-3?
g(x): yint=-4, m=3

Answer 7

good

Answer 8

so what is the difference between f and g?

Answer 9

Positive and negative slopes?

Answer 10

correct

Answer 11

what do they have in common?

Answer 12

Yints?

Answer 13

they both have the same y-intercept, yes

they both cross at (0,-4)

Answer 14

let's move onto h(x)

Answer 15

what would be the slope here?

Answer 16

Uhm. 4?

Answer 17

hint:

slope = (change in y)/(change in x)

Answer 18

"change in y" for h(x) is the change in # of apples

Answer 19

"change in x" is the change in # of days

Answer 20

So one? Maybe?

Answer 21

how many apples do we start with?

Answer 22

Oh wait is it 3?

Answer 23

She starts with 4.

Answer 24

change in apples: 4-1 = 3
change in days: 2-1 = 1

Slope: 3/1 = 3

you got it

Answer 25

the y intercept is 4 because that's what we start with

Answer 26

Ah so g(x) and h(x) have similar slopes?

Answer 27

correct

Answer 28

both have slopes of 3

Answer 29

Great! And finally, j(x).

Answer 30

use the slope formula

\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 31

you can pick any two points on the table

Answer 32

-2- -2 / 10 - 2?

Answer 33

no

Answer 34

what two points are in the table?

Answer 35

x: -2,2,6
j(x): -2,10,22

Answer 36

read off the top row

what point is that?