Interpreting Functions

Front

What does the point (x, y) represent in a graph?

Back

The point (x, y) represents the value of y at the specific value of x.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

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

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis (x=0).

Front

How do you interpret the coordinates of a point on a graph?

Back

The first coordinate (x) represents the input value, and the second coordinate (y) represents the output value.

Front

What does it mean if a graph is increasing?

Back

A graph is increasing if the y-values rise as the x-values increase.

Front

What does it mean if a graph is decreasing?

Back

A graph is decreasing if the y-values fall as the x-values increase.

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 is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.