U1C Characteristics of Functions Review

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).

Front

How do you find the average rate of change of a function over an interval?

Back

The average rate of change is calculated by taking the difference in the function's values at the endpoints of the interval and dividing by the difference in the x-values.

Front

What does it mean when x approaches -∞ in a function?

Back

It refers to the behavior of the function as the input values decrease without bound, which can affect the output (y-values).

Front

What is an interval of decrease in a function?

Back

An interval of decrease is a range of x-values where the function's output (y-values) decreases as x increases.

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the slope of a line?

Back

The slope of a line measures the steepness and direction of the line, calculated as the rise over run (change in y over change in x).

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of the function (y) also increases.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).