Math 4 Unit 2 Piecewise Functions-Flashcard -2B

Front

What is a piecewise function?

Back

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

Front

How do you evaluate a piecewise function?

Back

To evaluate a piecewise function, identify the interval that contains the input value and use the corresponding expression to find the output.

Front

What is a discontinuity in a function?

Back

A discontinuity is a point at which a function is not continuous, meaning there is a break, jump, or hole in the graph.

Front

What are the types of discontinuities?

Back

The main types of discontinuities are removable discontinuity, jump discontinuity, and infinite discontinuity.

Front

What is a removable discontinuity?

Back

A removable discontinuity occurs when a function is not defined at a point, but can be made continuous by defining it at that point.

Front

What is a jump discontinuity?

Back

A jump discontinuity occurs when the left-hand limit and right-hand limit at a point exist but are not equal.

Front

What is an infinite discontinuity?

Back

An infinite discontinuity occurs when the function approaches infinity or negative infinity as it approaches a certain point.

Front

How do you find the cost of multiple items using a piecewise function?

Back

You can use a piecewise function to calculate the total cost based on different pricing rules for different quantities.

Front

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

Back

'Undefined' means that the function does not have a value at a certain input, often due to division by zero or a discontinuity.

Front

How do you interpret a graph of a piecewise function?

Back

To interpret a graph of a piecewise function, look for different segments that represent different rules or formulas for different intervals.