Which function corresponds to the table of inputs and outputs?

Hence, the linear function is given as:

y=2x+3

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

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step-by-step explanation: