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15 February, 00:06

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.

Avertical 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.

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  1. 15 February, 00:35
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    All functions have a dependent variable. TRUE

    All functions have an independent variable. TRUE

    The range of a function includes its domain. FALSE

    [Range refers to the set of outputs the function produces, domain the set of inputs the function accepts. They don't really have to have anything to do with each other.]

    A vertical line is an example of a functional relationship. FALSE

    [For a function, each input (x value) maps to at most one output (y value). A vertical line has lots of ys for a single x.]

    A horizontal line is an example of a functional relationship. TRUE

    [It's a constant function.]

    Each output value of a function can correspond to only one input value. FALSE

    [A function can have the same output given different inputs, for example f (x) = x^2 has f (1) = f (-1) ]
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