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Vaselesa
1 month ago
14

Which statements are true of functions? Check all that apply. All functions have a dependent variable. All functions have an ind

ependent 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.
Mathematics
3 answers:
PIT_PIT [12.4K]1 month ago
8 0

1. Every function has a dependent variable.

2. Every function has an independent variable.

3. A horizontal line exemplifies a functional relationship.

HOPE THIS HELPS

Svet_ta [12.7K]1 month ago
8 0
The correct statements are:

Every function has at least one dependent variable. This allows us to express it as y = f(x), where x is independent and y depends on x, so y is dependent.

Every function includes an independent variable (as just explained).

A horizontal line illustrates a functional relationship because for any x value, the y value can be identified.

The remaining statements are incorrect:
<span>The idea that the range includes the domain is false.
Domain refers to the x values that can be used, and range refers to the y values that result; one does not contain the other.

A vertical line does not represent a functional relationship since for certain x values, y is not uniquely determined.

The belief that each output corresponds to only one input is incorrect. Multiple x values can produce the same y value—horizontal lines serve as examples.</span>


lawyer [12.5K]1 month ago
0 0

The correct answers are 1, 2, and 6.

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