Question

Write a rule for the linear function in the table.

x

f(x)
–4

16
0

0
4

–16
8

–32

Answer 1

Ok I'll rewrite that as ordered pairs (x,f(x)) (-4,16) (0,0) (4,-16) (8,-32)
Just like before, use the two point formula
Pick any two points from the 4 ( I'll take (-4,16) and (0,0)
so
x1= -4
x2= 0
y1=16
y2=0

y-y1= ((y2-y1)/(x2-x1)) (x-x1)
y-16= (0-16)/(0+4) (x+4)
y-16= -16/+4 (x+4)
y-16= -4 (x+4)
y-16= -4x-16
y=-4x
f(x)=-4x

To check if this is true try x= -4
-4(-4)= 16 ---> value of f(x)

Answer 2

thankyou