Math 4 Unit 2 Piecewise Functions-Flashcard -2A 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 piece to find the output.

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

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

Back

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

Front

What does the notation -2 < x ≤ 1 represent?

Back

This notation indicates that x is greater than -2 and less than or equal to 1.

Front

How do you graph a piecewise function?

Back

To graph a piecewise function, plot each piece of the function on the same set of axes, ensuring to use open or closed dots to indicate whether endpoints are included.

Front

What is the significance of the x-value when f(x) = -5?

Back

The x-value when f(x) = -5 represents the input for which the output of the function equals -5.

Front

How do you determine if a function is continuous at a point?

Back

A function is continuous at a point if the limit as x approaches that point equals the function's value at that point.