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Cogito

Algebra 1 · Chapter 3 · Lesson 1

Practice Worksheet

Function Notation, Domain, and Range

A name for the rule, and the numbers it accepts.

10 problems · about 19 minutes · F-IF.A.1, F-IF.A.2, F-IF.B.5

NameDate

Figure — use these to answer the problems

The graph is a picture of the rule. Move the point to read one input and output.
-8-8-6-6-4-4-2-222446688
y = 2x + 1
  • Point(3, 7)
Slope2
Constant1
Input x3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Inequalities in Two Variables”

    Does (0, 0) satisfy y < x − 3? 1 for yes, 0 for no.

    Answer

  2. From “Inequalities from Situations”

    £60 with books at £7. How many at most?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. f(x) = 6x − 7. What is f(3)?

    Answer

  2. What is the domain of a function?

    • The set of allowed inputs.
    • The set of outputs.

  3. f(x) = 5x − 2. What is f(4)?

    Answer

  4. f(x) = x² + 1. What is f(3)?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. f(x) = 3x + 1 and f(a) = 16. What is a?

    Answer

  2. Does f(3) mean f multiplied by 3?

    • No. It is the value of f at 3.
    • Yes.

Stretch Yourself

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

2 problems

  1. Evaluating

    f(x) = 4x + 3. What is f(6)?

    Answer

  2. Working Backwards

    f(x) = 2x − 5 and f(a) = 9. What is a?

    Answer