Math 4 Unit 2 Piecewise Functions-Flashcard -3B

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

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 of the function.

Front

What is an infinite discontinuity?

Back

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

Front

What is a removable discontinuity?

Back

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

Front

What is a jump discontinuity?

Back

A jump discontinuity occurs when the left-hand limit and right-hand limit of a function at a certain point are not equal.

Front

How do you evaluate a piecewise function?

Back

To evaluate a piecewise function, determine which interval the input value falls into and then use the corresponding expression to find the output value.

Front

What does it mean for a function to be continuous at a point?

Back

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

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept of a function, set the function equal to zero and solve for x.

Front

What is the significance of the slope in a linear function?

Back

The slope of a linear function represents the rate of change of the function; it indicates how much the output value changes for a unit change in the input value.