EOC Flashcard #3 A2B

Front

Describe the end behavior of the graph as x approaches infinity and negative infinity.

Back

As x → ∞, y → ∞ and as x → -∞, y → ∞.

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 the domain.

Front

What does it mean for a function to be odd?

Back

A function is odd if f(-x) = -f(x) for all x in the domain.

Front

What is a one-to-one function?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

Back

Front

What is the explicit equation for the nth term of the sequence: 25, 21, 17, 13,...?

Back

a_n = -4n + 29.

Front

How can you determine if a graph is even, odd, or neither?

Back

Check the symmetry: Even functions are symmetric about the y-axis, odd functions are symmetric about the origin.

Front

What is the significance of the end behavior of a graph?

Back

It describes how the values of the function behave as x approaches positive or negative infinity.

Front

What is the general form of a quadratic function?

Back

The general form is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

Back

The vertex can be found at x = -b/(2a).