EOC Flashcard #3 A2B

Front

Describe the end behavior of the graph.

Back

As x approaches infinity, y approaches infinity and as x approaches negative infinity, y approaches infinity.

Front

What is the composition of functions f(x) = 3x + 10 and g(x) = x - 2 at x = 0?

Back

(f∘g)(0) = 4.

Front

Write an equation for the nth term in the sequence: 2, 8, 32, 128.

Back

a_n = 2(4)^(n-1).

Front

What is the average rate of change of Lenny's test scores from Test 1 to Test 5?

Back

The approximate average rate of change is 2.8.

Front

Find the inverse of the function f(x) = x^3 - 5.

Back

f^{-1}(x) = \sqrt[3]{x + 5}.

Front

What is the definition of end behavior in graphing?

Back

End behavior describes the behavior of a graph as x approaches positive or negative infinity.

Front

How do you find the composition of two functions?

Back

To find (f∘g)(x), substitute g(x) into f(x).

Front

What is a geometric sequence?

Back

A sequence where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the formula for the average rate of change?

Back

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

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function, such that f(f^{-1}(x)) = x.