EOC Flashcard #3 A2B

Front

What is an even function?

Back

A function f(x) is even if f(-x) = f(x) for all x in the domain of f. The graph of an even function is symmetric about the y-axis.

Front

What is an odd function?

Back

A function f(x) is odd if f(-x) = -f(x) for all x in the domain of f. The graph of an odd function is symmetric about the origin.

Front

What does it mean if a function is neither even nor odd?

Back

A function is neither even nor odd if it does not satisfy the conditions for being even or odd. Its graph does not exhibit symmetry about the y-axis or the origin.

Front

How do you determine the end behavior of a graph?

Back

The end behavior of a graph describes how the function behaves as x approaches positive or negative infinity. It can be determined by analyzing the leading term of the function.

Front

What is the end behavior of a polynomial function with a positive leading coefficient and even degree?

Back

As x → -∞, y → +∞ and as x → +∞, y → +∞.

Front

What is the end behavior of a polynomial function with a positive leading coefficient and odd degree?

Back

As x → -∞, y → -∞ and as x → +∞, y → +∞.

Front

What is the end behavior of a polynomial function with a negative leading coefficient and even degree?

Back

As x → -∞, y → -∞ and as x → +∞, y → -∞.

Front

What is the end behavior of a polynomial function with a negative leading coefficient and odd degree?

Back

As x → -∞, y → +∞ and as x → +∞, y → -∞.

Front

What is a linear regression equation?

Back

A linear regression equation models the relationship between two variables by fitting a linear equation to observed data. It is typically in the form y = mx + b.

Front

How do you find the linear regression equation from a set of data points?

Back

You can find the linear regression equation using statistical methods such as the least squares method, which minimizes the sum of the squares of the residuals.