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 intervals of its domain.

Front

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

Back

A function is undefined at a certain point if there is no output value for that input, often due to division by zero or taking the square root of a negative number.

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 exist but are not equal, causing a 'jump' in the graph.

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.

Front

What is the cost of 47 cupcakes if each costs $3.75?

Back

The cost is $176.25 (47 cupcakes x $3.75 each).

Front

What is the value of h(-1) if h(x) is defined as a piecewise function?

Back

To find h(-1), substitute -1 into the appropriate piece of the piecewise function.

Front

What is an Infinite Discontinuity?

Back

An Infinite Discontinuity occurs when the function approaches infinity or negative infinity as the input approaches a certain value.

Front

What is a Removable Discontinuity?

Back

A Removable Discontinuity occurs when a function is not defined at a point, but the limit exists at that point, allowing the function to be 'fixed' by defining it at that point.

Front

How do you find the limit of a piecewise function?

Back

To find the limit of a piecewise function at a certain point, evaluate the limits from the left and right sides of that point.

Front

What is the difference between a continuous function and a discontinuous function?

Back

A continuous function has no breaks, jumps, or holes in its graph, while a discontinuous function has at least one point where it is not continuous.