Math 4 Unit 2 Piecewise Functions-Flashcard -3A Makeup

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different parts of its domain.

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How do you evaluate a piecewise function?

Back

To evaluate a piecewise function, identify which piece of the function applies to the given input value and then use that expression to find the output.

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What does 'undefined' mean in the context of functions?

Back

'Undefined' means that the function does not have a valid output for a given input, often due to division by zero or taking the square root of a negative number.

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What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the domain restrictions for a piecewise function?

Back

To find domain restrictions, analyze each piece of the function and determine the values of x for which each piece is valid.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph, meaning it can be drawn without lifting the pencil.

Front

What is the significance of the notation h(x)?

Back

h(x) represents the output of the function h for a given input x.

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How do you determine if a function has a zero?

Back

A function has a zero at x = a if h(a) = 0, meaning the output of the function is zero for that input.

Front

What is the importance of evaluating functions using graphs?

Back

Evaluating functions using graphs allows you to visually interpret the behavior of the function and find values like zeros and outputs for specific inputs.