EOC Flashcard #3 A2B

Front

What is a recursive rule in sequences?

Back

A recursive rule defines each term of a sequence using the previous term(s). For example, a_n = -6 * a_(n-1) with a_1 = -2.

Front

What does it mean for a function to be even?

Back

A function is even if f(-x) = f(x) for all x in its domain, meaning its graph is symmetric about the y-axis.

Front

How do you calculate the average rate of change?

Back

The average rate of change from x=a to x=b is given by (f(b) - f(a)) / (b - a).

Front

What is end behavior in graphing functions?

Back

End behavior describes how the values of a function behave as x approaches positive or negative infinity.

Front

What is the formula for the average rate of change of a function?

Back

Average rate of change = (f(b) - f(a)) / (b - a).

Front

What is the significance of arrows on a graph?

Back

Arrows indicate the direction in which the graph extends towards infinity.

Front

What is the first term in the sequence defined by a_n = -6 * a_(n-1) with a_1 = -2?

Back

The first term a_1 is -2.

Front

How can you determine if a function is odd?

Back

A function is odd if f(-x) = -f(x) for all x in its domain, indicating symmetry about the origin.

Front

What does it mean for a function to have a positive average rate of change?

Back

A positive average rate of change indicates that the function is increasing over the interval considered.

Front

What is the general form of a recursive sequence?

Back

A recursive sequence is typically defined by a_n = f(a_(n-1)), where f is a function of the previous term.