Question

Write a rule for the linear function in the table.x -1,0,3,6 f(x) -1,2,5,8

Answer 1

what are the values of f(x) increasing by...?

Answer 2

3 I think

Answer 3

ok... so thats the correct... but based on the ordered pairs

(-1, -1) (0, 2) (3 , 5) and (6, 8) I think your 1st value may be incorrect...

Answer 4

should it be -3..?

Answer 5

oops x = -3, f(x) = -1

Answer 6

It is the table says x-3,0,3,6 f(x) -1,2,5,8

Answer 7

thats makes more sense... your question had a typo...

the general form of a straight line is y = mx + b

m = slope and b = y-intercept...

do you know this..?

Answer 8

Yes sorry about that

Answer 9

No just learning it

Answer 10

ok... so the y intercept occurs when x = 0.... so from the information what do you think the intercept is..?

Answer 11

3

Answer 12

nope... look at the table of values, when x = 0 what is f(x) =

Answer 13

2

Answer 14

great thats call the y-intercept... and its where the line cuts the vertical axis

so your equation is now

y = mx + 2

does that make sense...?

Answer 15

Yes

Answer 16

Thanks for the help

Answer 17

ok... so just a little more work... one of your points is x=3, f(x) = 5

so you need to substitute them into

f(x) = mx + 2

to find the value of m..

is that ok..?

Answer 18

Yes I understand it now thanks so much

Answer 19

ok... so what value do you have for m..?

Answer 20

0

Answer 21

not quite if I substitute x = 3 and f(x) = 5

you get

5 = 3m + 2

whats the value of m..?

Answer 22

5

Answer 23

not quite... its 3 times something plus 2 is equal to 5... whats the something..?

Answer 24

1

Answer 25

I'm sorry but I'm dumb in some parts of math

Answer 26

thats correct... so the equation you have is

f(x) = x + 2

since m = 1

and you can check by substituting other values

Answer 27

Ok