Examine the function
‑values have points on the graph? That is, describe the domain of .
The domain includes
and all the numbers between. .
What are the possible outputs for
? That is, what is the range?
The range includes
, and all the numbers between. .
Ricky thinks the range of
is and . Is he correct? Why or why not?
Is there a point on the graph for
He is not correct since he is missing all the values between his numbers.
The curve is continuous, so the description needs to include all numbers, not just integers.
Make a sketch of another function with the same domain and range as
There are many possibilities. Here is one example.