Question

which function represents the linear pattern shown it the table.

x f(x)

1 -2
2 1
3 4
4 7

Answer 1

the options are

a. f(x)= 3x-5
b. f(x)=2x-4
c. f(x)=x+3
d.f(x)=x+3

Answer 2

you can find the slope simply by counting how many units y increases with respect to x i.e. if x increases by one how many units does y increase? Slope or (m)= rise/run and the equation of the line is y=-mx+b

Answer 3

in my mind I approach this, as I would go about an arithmetic sequence. Since it is linear, it would be an arithmetic sequence not geometric.
so, lets write it out

-2, 1, 4, 7

-2 + __ = 1
1 + __ = 4
4 + __ = 7

it is obviously increasing, but by what value? That value is the SLOPE.

Answer 4

ok now wat

Answer 5

Tell me by how much is each "term" in the f(x) increasing ?

Answer 6

its -2,1,4,and then 7

Answer 7

yes, and by how much is each term increasing ?

Answer 8

about 2

Answer 9

-2 + x = 1
1 + x = 4
4 + x= 7

solve for x in each of the equations I am posting above.

Answer 10

i dont get the first problem but

1+3=4
4+3=7

Answer 11

yEs, so it goes up by 3, that means the slope is 3.