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Analyzing Graphs of Absolute Value Functions

Analyzing Graphs of Absolute Value Functions 1.12 - Solution

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a
To match the graph with its function, we will graph the function by making a table of values. To graph the given function using a table of values, we will substitute some values into the rule and solve for the corresponding values. Let's first calculate the value that corresponds to
We have found that when Therefore, the point lies on the graph. We can find other points on the graph in the same way.

To draw the graph, we will plot and connect the obtained points. Do not forget that the graph of an absolute value function has a V-shape!

The graph given in option C is the graph of the function.

b
Starting from let's make a table of values for the absolute value function.

To draw the graph, we will plot and connect the obtained points. Do not forget that the graph of an absolute value function has a V-shape!

As a result, the graph of the function is given in option A.

c
We will proceed in the same way as we did in the previous parts.

To draw the graph, we will plot and connect the obtained points. Do not forget that the graph of an absolute value function has a V-shape!

The graph we have above matches the graph given in option B.