Functions Worksheet - Big Ideas Math Prealgebra: A Florida Standards Curriculum Teaching Edition Page 12
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47Lesson
6.2
Lesson Tutorials
Key Vocabulary
function rule, p. 250
Functions as Equations
A function rule is an equation that describes the relationship between
inputs (independent variable) and outputs (dependent variable).
Remember
An independent
2
variable represents
Input
6
a quantity that can
Output
change freely. A
dependent variable
depends on the
independent variable.
1 1
Writing Function Rules
EXAMPLE
a. Write a function rule for “The output is fi ve less than the input.”
The output is fi ve less than the input.
Words
=
x − 5
y
Equation
A function rule is y = x − 5.
b. Write a function rule for “The output is the square of the input.”
The output is the square of the input.
Words
=
2
y
x
Equation
A function rule is y = x
2
.
2 2
Evaluating a Function
EXAMPLE
What is the value of y = 2x + 5 when x = 3?
y =
+ 5
2x
Write the equation.
= 2(3) + 5
Substitute 3 for x.
= 11
Simplify.
When x = 3, y = 11.
1. Write a function rule for “The output is one-fourth of the input.”
Exercises 7–18
Find the value of y when x = 5.
2. y = 4x − 1
3. y = 10x
4. y = 7 − 3x
250
Chapter 6
Functions
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