To draw the graph of this function, we will first make a table of values, then plot the resulting coordinate pairs.
Making a Table of Values
To start, we will substitute values from the domain for x into the function to find the corresponding y-values.
Since we haven't been given a domain, let's use some arbitrary values from the domain of all real numbers.
x
-4x+2
y
(x,y)
-2
-4( -2)+2
10
(-2,10)
-1
-4( -1)+2
6
(-1,6)
0
-4( 0)+2
2
(0,2)
1
-4( 1)+2
-2
(1,-2)
2
-4( 2)+2
-6
(2,-6)
Graphing the Function
Next, let's plot the ordered pairs on a coordinate plane. Since we were not given a domain, we can assume that the domain is all real numbers. Therefore, we can connect the points to form our graph.
