Skip to lesson

Choose “Save as PDF” in the print dialog to keep a copy.

Cogito

Algebra 1 · Chapter 3 · Lesson 3

Practice Worksheet

Reading Domain and Range from a Graph

How far it spreads, and how high it reaches.

11 problems · about 22 minutes · F-IF.A.2, F-IF.B.5

NameDate

Figure — use these to answer the problems

Change the parabola and watch how low its outputs can go.
-8-8-6-6-4-4-2-222446688
y = 1x² + 0x + 0
a1
b0
c0
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. y = x² + 2. Smallest output?

    Answer

  2. y = x² − 4. Smallest output?

    Answer

  3. y = −x². Largest output?

    Answer

  4. y = 3x + 1. Is the domain every real number? 1 for yes, 0 for no.

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. A function counts children in a class. Can the input be −2? 1 for yes, 0 for no.

    Answer

  2. y = x² + 9. Smallest output?

    Answer

  3. Match each idea to what it describes.

    Draw a line from each item on the left to its match on the right.

    • Domain
    • Range
    • Every input accepted
    • Every output produced

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

  1. y = −x² + 6. Largest output?

    Answer

  2. A ticket price function takes whole tickets only. Is the domain every real number? 1 for yes, 0 for no.

    Answer

  3. The Floor

    For y = x², what is the smallest possible output?

    Answer

  4. The Lifted Floor

    For y = x² + 5, what is the smallest possible output?

    Answer