Attributes of a Graph

Front

What are the attributes of a graph?

Back

Attributes of a graph include its shape, direction (increasing or decreasing), intercepts, maximum and minimum points, and whether it is linear or nonlinear.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, characterized by a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line, and its rate of change varies.

Front

How can you identify if a function is increasing?

Back

A function is increasing if, as the x-values increase, the y-values also increase.

Front

How can you identify if a function is decreasing?

Back

A function is decreasing if, as the x-values increase, the y-values decrease.

Front

What does it mean for a function to have a maximum point?

Back

A maximum point is the highest point on the graph of a function, where the function changes from increasing to decreasing.

Front

What does it mean for a function to have a minimum point?

Back

A minimum point is the lowest point on the graph of a function, where the function changes from decreasing to increasing.

Front

What is the difference between a maximum and a minimum?

Back

A maximum is the highest value of a function, while a minimum is the lowest value.

Front

What is the significance of intercepts in a graph?

Back

Intercepts are points where the graph crosses the axes; the x-intercept is where y=0, and the y-intercept is where x=0.

Front

What does it mean for a function to be both increasing and decreasing?

Back

A function can be both increasing and decreasing over different intervals; it may increase in one section and decrease in another.