F(2)=-2 and f(1)=1 write a linear function

Question

asked Feb 16, 2021 40.2k views

1 Answer

Harsha Jasti · Answer 1 · 2021-02-19T15:52:04+0000

Answer:

f(x) = -3x+4

Explanation:

We can use the form
y=mx+b to find the linear function.

From
f(2)=-2 , we can write:

-2=2m+b

From
f(1)=1 , we can write:

1=m+b

To find for
, we can substract the second equation from the first:

2m+b-(m+b) = -2-1

2m+b-m-b=-3

m=-3

To find for
, we can use substitution:

1 = m+b

1 = -3+b

b=4

∴
f(x) = -3x+4 is the linear function.

Hope this helps :)