Linear Functions - graphing

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. It indicates how steep the line is.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the function f(x) = mx + b.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean if a line has a slope of 0?

Back

A line with a slope of 0 is horizontal, indicating that there is no change in the y-value as the x-value changes.

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the non-negative value of its input, represented as f(x) = |x|.

Front

How can you identify a linear function from a set of coordinates?

Back

A set of coordinates represents a linear function if the slope between any two points is constant.

Front

What is the significance of the coordinates (5,2)?

Back

The coordinates (5,2) represent a point on the Cartesian plane where the x-value is 5 and the y-value is 2.