EOC Flashcard #3 A2B

Front

What is an even function?

Back

A function f(x) is called an even function if f(-x) = f(x) for all x in the domain of f. Graphically, even functions are symmetric about the y-axis.

Front

What is an odd function?

Back

A function f(x) is called an odd function if f(-x) = -f(x) for all x in the domain of f. Graphically, odd functions are symmetric about the origin.

Front

What does the average rate of change represent?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.

Front

How do you calculate the average rate of change?

Back

Average Rate of Change = (f(b) - f(a)) / (b - a), where [a, b] is the interval.

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.

Front

How do you interpret the slope in a linear regression equation?

Back

The slope indicates the change in the dependent variable for a one-unit change in the independent variable.

Front

What is function composition?

Back

Function composition is the process of applying one function to the results of another function, denoted as (f∘g)(x) = f(g(x)).

Front

How do you find (f∘g)(x)?

Back

To find (f∘g)(x), first evaluate g(x), then substitute that result into f.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2, then f(x1) < f(x2).