59797
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Introduction to Functions

Question 59797 • WV-Algebra I CR

Which statements are true of functions? Check all that apply.All functions have a dependent variable.All functions have an independent variable.The range of a function includes its domain.A vertical line is an example of a functional relationship.A horizontal line is an example of a functional relationship.Each output value of a function can correspond to only one input value.

Answer
A
All functions have a dependent variable.
B
All functions have an independent variable.
C
The range of a function includes its domain.
D
A vertical line is an example of a functional relationship.
E
A horizontal line is an example of a functional relationship.
F
Each output value of a function can correspond to only one input value.

Explanation

A function has an independent variable, or input, and a dependent variable, or output, so A and B are true. A horizontal line has the form y = c, giving exactly one y-value for every x-value, so it represents a function. A vertical line gives multiple y-values for the same x-value, and a function’s range does not have to include its domain. Also, different inputs may share the same output, so F is not always true.

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