Question

If f(x) = 5x - 3, fill out the following table of values:

-2,-1,0,1,2,3
What type of function is this?

Answer 1

Explanation:

Given function is,

f(x) = 5x - 3

Where f(x) represents the output values and 'x' is the variable representing the input values.

For x = -2,

f(-2) = 5(-2) - 3

= -13

For x = -1,

f(-1) = 5(-1) - 3

= -8

For x = 0,

f(0) = 5(0) - 3

= -3

For x = 1,

f(1) = 5(1) - 3

= 2

For x = 2,

f(2) = 5(2) - 3

= 7

For x = 3,

f(3) = 5(3) - 3

= 12

Table for the input-output values will be,

x -2 -1 0 1 2 3

f(x) -13 -8 -3 2 7 12

Since the values of f(x) has a common difference of [-13 - (-8) = -5] negative five, given function will be a linear function.