ClassMetric

Function notation

Lesson 16 of 20 in Union Aptitude Prep. The start plays free here.

Union Aptitude PrepFunction notation
Recognize the relationship
  1. A relationship shown in a table
  2. The relationship written in words
  3. The relationship written as a rule
One relationship, three forms
  1. f(x): f of x
  2. x → exactly one output
  3. Rule: f(x) = x − 5
  4. Table: (5, 0), (6, 1), (7, 2)
  5. Graph: plot (5, 0), (6, 1), (7, 2)
Same relationshipYou may be asked to match a table with another form of the same relationship.Read the notationYou see f(x) in a problem. Read it as “f of x.” It names the function's output, not f times x.

How the lesson starts

Same relationship

You may be asked to match a table with another form of the same relationship. Function notation gives you a way to write that relationship.

Read the notation

You see f(x) in a problem. Read it as “f of x.” It names the function's output, not f times x.

Then, in the full lesson

  • Input and output
  • Use the rule
  • Read the table
  • Show the graph
  • 2 questions along the way

A question from this lesson

The rule is f(x) = x − 5. What is f(8)?

  1. 3
  2. 40
  3. 13
Show the answer

A. 3. 3 is eight minus five. Getting 13 adds five instead of subtracting. Getting 40 multiplies eight by five instead of following the rule.

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