Lesson 3.6, 3.7 and 4.3 Flashcard

Front

What is the definition of an absolute value function?

Back

Front

What is the general form of an absolute value function?

Back

Front

How do you identify the vertex of an absolute value function?

Back

Front

What is an arithmetic sequence?

Back

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

Front

How do you find the common difference in an arithmetic sequence?

Back

Front

What is the formula for the nth term of an arithmetic sequence?

Back

Front

How do you find the next three terms in the arithmetic sequence: 25, 34, 43, 52?

Back

The common difference is 9. The next three terms are: 52 + 9 = 61, 61 + 9 = 70, 70 + 9 = 79.

Front

What is the 26th term in the arithmetic sequence: -15, -35, -55, -75?

Back

Front

How do you find the next three terms in the arithmetic sequence: -33, -24, -15, -6?

Back

The common difference is 9. The next three terms are: -6 + 9 = 3, 3 + 9 = 12, 12 + 9 = 21.

Front

What is the significance of the vertex in an absolute value function graph?

Back

The vertex is the point where the graph changes direction. It represents the minimum or maximum value of the function, depending on the value of 'a'.