Question

function f is in the table. identify the function linear,exponential,or neither.

-5       |     2.5
-3       |     9.5
-1        |     16.5
1         |     23.5
3        |     30.5

Answer 1

It is important to know that a linear function has the following form: y= mx + b or f(x) = mx + b

 m: is the slope of the line.

 b: is the point where the line passes through the "y" axis.

 x: is the independent variable.

 y: is the dependent variable.

 Then, according to the table shown in the problem, you can observed that the slope in the function is constant throughout its domain: for every two units increased in "x", it increases 7 in "y". Therefore, it can be concluded that the function is linear.

Answer 2

Its linear. I took the test