Arithmetic Sequence & Piecewise Functions

Front

What is the domain of a function?

Back

The domain of a function is all of the possible x values.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the difference between two consecutive terms in an arithmetic sequence.

Front

What is each number in a sequence called?

Back

Each number in a sequence is called a term.

Front

How is the inequality x >= 1 graphed?

Back

The inequality x >= 1 is graphed with a closed circle at 1.

Front

What are functions that are defined differently depending on the interval of x called?

Back

These functions are called piecewise functions.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is a piecewise function?

Back

A piecewise function is a function that has different expressions for different intervals of the domain.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is the range of a function?

Back

The range of a function is all of the possible y values that the function can output.