Questions and Answers
What is a Linear Function?
What is the domain of a function?
The set of input values of a function.
What is the range of a function?
The set of output values of a function.
The vertical line test is used to determine if a graph is a function.
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What is the linear parent function?
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Study Notes
Linear Functions
- A linear function is expressible in the form ( y = mx + b ), where ( x ) is the independent variable.
- In this equation, ( m ) represents the slope and ( b ) is the y-intercept.
- The graph of a linear function forms a straight line.
Domain
- The domain of a function is the complete set of possible input values (represented as ( x )).
- It defines the values that can be substituted into the function’s formula.
Range
- The range refers to the complete set of possible output values (represented as ( y )).
- It indicates the values produced by the function as outputs when the domain values are input.
Vertical Line Test
- This is a method used to visually evaluate if a graph represents a function.
- If a vertical line intersects the graph at more than one point, the graph does not represent a function.
Linear Parent Function
- The linear parent function is the foundational function for all linear functions, expressed as ( y = x ) or ( f(x) = x ).
- All linear functions derive their characteristics from this basic form.
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Description
Test your knowledge of essential vocabulary in Pre AP Algebra 1. This quiz covers key terms such as linear functions, domain, range, and the vertical line test. Perfect for students looking to reinforce their understanding and improve their algebra skills.
