Sign In
Make a table of values. Then, plot and connect the obtained points.
Graph:
Domain: All real numbers.
Range: y ≥ 0
To graph the desired function, we will make a table of values. To do so, we will assign some values to the x-variable and calculate the corresponding values for y. For simplicity, we will use even numbers so that the values of y are integers. Make sure to include positive and negative numbers, as well as zero.
x | |1/2x-2| | f(x)=|1/2x-2| |
---|---|---|
- 2 | |1/2( - 2)-2| | 3 |
0 | |1/2( 0)-2| | 2 |
2 | |1/2( 2)-2| | 1 |
4 | |1/2( 4)-2| | 0 |
6 | |1/2( 6)-2| | 1 |
8 | |1/2( 8)-2| | 2 |
Now, we will plot and connect the obtained points on a coordinate plane. Recall that the graph of an absolute value function has a V
shape.
We see above that the x-variable can take any value. We also see that y takes values that are greater than or equal to 0. With this in mind, we can write the domain and range of the function. Domain:& all real numbers Range:& y≥ 0