Question

Does the table represent a linear function. Can I also get the steps to solving linear and non-linear questions? Thanks!Problem #13

Answer 1

Yes it’s function because the X’s do not repeat

Answer 2

Given the table

If the slopes of the between the points are same, then it is a linear function.

Consider the two points (-2,0.2) and (0,2). Find the slope using the two point formula

`m=(y_2-y_1)/(x_2-x_1)`

The slope for the points (-2, 0.2 ) and (0, 2) is

`\begin{gathered} m=(2-0.2)/(0-(-2)) \\ =0.9 \end{gathered}`

Consider the points (0, 2) and (2, 3.8). The slope for the points (0, 2) and (2, 3.8) is

`\begin{gathered} m=(3.8-2)/(2-0) \\ =(1.8)/(2) \\ =0.9 \end{gathered}`

Consider the points (2, 3.8) and (4, 5.6). The slope for the points (2, 3.8) and (4, 5.6) is

`\begin{gathered} m=(5.6-3.8)/(4-2) \\ =(1.8)/(2) \\ =0.9 \end{gathered}`

The slope is same for every consecutive pair of points. Hence the given function is linear.