Interpreting Graphs of Functions

Front

What is a linear function?

Back

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

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Its graph can be a curve, a circle, or any other shape that is not linear.

Front

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

Back

The x-intercept is found by setting y = 0 in the function and solving for x. It is the point where the graph crosses the x-axis.

Front

How do you find the y-intercept of a graph?

Back

The y-intercept is found by setting x = 0 in the function and solving for y. It is the point where the graph crosses the y-axis.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

What is the significance of the point (0,0) on a graph?

Back

The point (0,0) is the origin of the graph. It is where the x-axis and y-axis intersect.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a graph, or a table.

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 for a function to be increasing?

Back

A function is increasing if, as x increases, y also increases. The graph moves upward from left to right.