To evaluate a function for a given value of the variable, substitute the value for the variable.
Table of values:
Graph:
Practice makes perfect
We want to write a table of values and graph the given function. To do so, we will evaluate this function for all the given instances of x.
Let's start with the first missing value as an example, that is, let's start by substituting x = -3.
As we can see, y = 5 if x = -3. Let's do similar operation for all the arguments with missing values.
x
|x|+2
y
-2
| -2|+2
4
-1
| -1|+2
3
1
| 1|+2
3
2
| 2|+2
4
3
| 3|+2
5
4
| 4|+2
6
Now that we have found all the values, let's complete our table of values.
Now that we have full table of values, let's move to graphing the function. The first step will be to plot all the found points on the coordinate grid.
Now, notice that those points seem to lie on two lines. Therefore, to graph our function, we should draw these lines.
