Question

Which function corresponds to the table of inputs and outputs?

Answer 1

Linear

for every -2x, the y goes down 4.

Hope this helps!

Answer 2

Hence, the linear function is given as:

y=2x+3

Explanation:

We are given a set of input and output values as:

Input -1 -3 -5 -7

Output 1 -3 -7 -11

Now clearly as the input value decreases by 2 the output value decreases by 4.

Hence, the function is linear.

Let the function is given by:

y=ax+b

by using two set of values we will determine the value of a and b as:

when x= -1 , y=1

1= -a+b-------(1)

and when x=-3 , y=-3

-3=-3a+b-------(2)

Hence, on solving by the method of elimination we get:

on subtracting equation (2) from equation (1) we get:

a=2 and b=3.

Hence, the linear function is given as:

y=2x+3