14. What is the graph of the function rule?
y = |2x| - 1
Use the table to help you with graphing this function. Select a few negative numbers, a few positive numbers, and zero for your x-value.
To graph the function y = |2x| - 1, we can create a table by selecting a few negative numbers, a few positive numbers, and zero for the x-values.
Let's choose x-values of -2, -1, 0, 1, and 2.
For x = -2, we have y = |2(-2)| - 1 = |-4| - 1 = 4 - 1 = 3.
So one point on the graph is (-2, 3).
For x = -1, we have y = |2(-1)| - 1 = |-2| - 1 = 2 - 1 = 1.
So another point on the graph is (-1, 1).
For x = 0, we have y = |2(0)| - 1 = |0| - 1 = 0 - 1 = -1.
So another point on the graph is (0, -1).
For x = 1, we have y = |2(1)| - 1 = |2| - 1 = 2 - 1 = 1.
So another point on the graph is (1, 1).
For x = 2, we have y = |2(2)| - 1 = |4| - 1 = 4 - 1 = 3.
So another point on the graph is (2, 3).
Plotting these points on a graph and connecting them will give us the graph of the function y = |2x| - 1.