characteristics of graphs

Front

What is the interval of decrease in a graph?

Back

The interval of decrease is the range of x-values where the function's output (y-value) is decreasing. For example, if a function decreases for x < 2, this is the interval of decrease.

Front

What is the domain of a linear graph?

Back

The domain of a linear graph is all real numbers, represented as D = (-∞, ∞).

Front

What is the range of a linear graph?

Back

The range of a linear graph is also all real numbers, represented as R = (-∞, ∞).

Front

How do you find the x-intercept of a line?

Back

The x-intercept is found by setting y = 0 in the equation of the line and solving for x.

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 interval of increase for a function?

Back

The interval of increase is the range of x-values where the function's output (y-value) is increasing. For example, if a function increases for x > 4, this is the interval of increase.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, found by setting x = 0 in the equation.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically represented in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does it mean for a graph to have a positive slope?

Back

A graph has a positive slope when it rises from left to right, indicating that as x increases, y also increases.