Question

Select the table that represents a linear function. (Graph them if necessary.) A. Xo 1 23 y -3 -2 03 B. X01 23 y 1 4 37 C. X01 1 2 23 y24 00 1 16 D. X 0 1 2 2 3 120-2 1-4

Answer 1

the table C represents a linear function, because we can see from the options that the only one that represents a monotone function is the option C.

we can find a linear function that passes betwen all the points given in the tab.

the linear function will be:

the first step is to find the slope: since the line will pass through the points (0,2) and (1,4) the slope will be

`m=(4-2)/(1-0)=(2)/(1)=2`

and since the line passes through the four points we can take randomly one of them and apply the slope-point equation for a line:

`(y-2)=2(x-0)\Rightarrow y=2x+2`