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Introduction to Functions

Question 13 • WV-Algebra I CR

Which statements are true of functions? Check all that apply.

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 relates an input (independent variable) to an output (dependent variable), so A and B are true. A horizontal line gives exactly one output for every input, so it is a function; a vertical line can give multiple outputs for the same input, so it is not. The range does not have to include the domain, and different inputs may share the same output, so C and F are false.

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