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Questions and Answers
Which of the following best describes the domain of a function?
Which of the following best describes the domain of a function?
What is the range of a function?
What is the range of a function?
What is another term for the domain of a function?
What is another term for the domain of a function?
What is another term for the range of a function?
What is another term for the range of a function?
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When is a value not in the range of a function?
When is a value not in the range of a function?
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Which step is necessary when solving absolute value equations?
Which step is necessary when solving absolute value equations?
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What must the sign of [latex]\left| x \right|[/latex] be when solving absolute value equations?
What must the sign of [latex]\left| x \right|[/latex] be when solving absolute value equations?
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What can the expression [latex]x[/latex] be when solving absolute value equations?
What can the expression [latex]x[/latex] be when solving absolute value equations?
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What must the value of [latex]a[/latex] be on the right side of the equation when solving absolute value equations?
What must the value of [latex]a[/latex] be on the right side of the equation when solving absolute value equations?
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What is the general approach for breaking down an absolute value equation into two equations?
What is the general approach for breaking down an absolute value equation into two equations?
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Study Notes
The Domain of a Function
- The domain of a function is the set of all possible input values (x-values) for which the function is defined.
The Range of a Function
- The range of a function is the set of all possible output values (y-values) that the function can produce.
Other Terms for Domain
- Input
Other Terms for Range
- Output
When a Value is Not in the Range
- A value is not in the range of a function if there is no input value that produces that output value.
Solving Absolute Value Equations
- When solving absolute value equations, it is necessary to isolate the absolute value expression.
Sign of [latex]\left| x \right|[/latex]
- The sign of [latex]\left| x \right|[/latex] must be positive or zero when solving absolute value equations.
The Expression [latex]x[/latex]
- The expression [latex]x[/latex] can be positive, negative, or zero when solving absolute value equations.
Value of [latex]a[/latex]
- The value of [latex]a[/latex] on the right side of the equation must be non-negative when solving absolute value equations.
Breaking Down Absolute Value Equations
- To break down an absolute value equation into two equations, separate the equation into two cases: one where the expression inside the absolute value is positive, and another where it is negative.
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Description
Test your knowledge of domain and range with this quiz. Learn about the sets of values for which a function is defined and the values that the function takes.
