Math 4 Unit 2 Piecewise Functions-Flashcard -1A (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.

Front

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.

Tags

CCSS.HSF.IF.A.2

Front

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.

Front

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

What does the notation 'x ≥ 1' signify?

Back

The notation 'x ≥ 1' indicates that x can take any value greater than or equal to 1.

Front

What does the notation '2 ≤ x < 6' signify?

Back

The notation '2 ≤ x < 6' indicates that x can take any value from 2 to 6, including 2 but not including 6.

Front

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

Back

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

Front

What is the significance of evaluating a function at a specific point?

Back

Evaluating a function at a specific point helps determine the output value of the function for that input, which is essential for understanding its behavior.

Tags

CCSS.HSF.IF.A.2

Front

What is a common mistake when evaluating piecewise functions?

Back

A common mistake is to use the wrong piece of the function for a given input value, leading to incorrect evaluations.

Tags

CCSS.HSF.IF.A.2