Multiple Representations of Functions
Explore different ways to represent functions, including equations, tables, graphs, and verbal descriptions, and practice converting between them.
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Multiple Representations of Functions
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This worksheet focuses on understanding and converting between different representations of functions. Read each question carefully and provide your answers in the space provided.
1. Write an equation for the function described verbally: "The output is three less than twice the input."
2. Graph the function y = -2x + 4 on the coordinate plane below.
3. Complete the table for the function f(x) = x² - 1.
x
f(x)
-2
-1
0
1
2
4. Describe the following graph in words.
5. Which of the following is NOT typically considered a primary representation of a function?
Equation
Table of Values
Verbal Description
Flowchart
6. A function can only be represented by one type of representation at a time.
True
False
7. Match each function representation with its corresponding example.
1. Equation
a. The cost is $5 per hour.
2. Table of values
b. {(1, 2), (2, 4), (3, 6)}
3. Verbal description
c. y = 3x + 1
4. Graph
8. A car travels at a constant speed of 60 miles per hour. Represent this relationship in three different ways: an equation, a table of values (for 0, 1, 2, 3 hours), and a verbal description.
Equation:
Table of Values:
Time (hours)
Distance (miles)
0
1
2
3
Verbal Description: