Math 4 Unit 2 Piecewise Functions-Flashcard -3A

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 the correct piece of the function based on the input value and then apply that piece to find the output.

Front

What does 'DNE' stand for in function evaluation?

Back

DNE stands for 'Does Not Exist', indicating that the function does not have a defined value for that input.

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 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 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

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 intervals where each piece is valid.

Front

What is the significance of the notation '-2 < x ≤ 1'?

Back

This notation indicates that x can take any value greater than -2 and up to and including 1.

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.