Activity
Here are graphs that represent two functions, and .
Decide which function value is greater for each given input. Be prepared to explain your reasoning.
1. Which is greater, or
Compare your answer:
is greater.
2. Which is greater, or
Compare your answer:
They appear to be equal.
3. Which is greater, or
Compare your answer:
is greater.
4. Which is greater, or
Compare your answer:
is greater.
5. Is there a value of at which the equation is true? Be prepared to show your reasoning.
Compare your answers:
Yes. For example: If the graphs intersect when is 4 and when it is 9, then and .
6. Identify at least two values of at which the inequality is true.
Compare your answers:
1, 3, 10, 11, or other -values that are less than 4 and greater than 9
Self Check
Additional Resources
Using Graphs to Find Values
Two functions, and , are graphed below.
What is the value of ?
Look at where touches the graph of . The -value is –3.
What is the value of ?
Look where touches the graph of . The -value is –1.
Which value is greater?
Try it
Try It: Using Graphs to Find Values
Two functions, and , are graphed below.
Which is greater, or ?
Here is how to determine which value is greater:
Looking at the graph, is where reaches the graph of . The -value there is 4. So, .
Similarly, is where reaches the graph of . The -value there is 2.
So, .