Function Graphs Practice

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, as the input values (x) increase, the output values (y) also increase.

Front

What does it mean for a function to be decreasing on an interval?

Back

A function is decreasing on an interval if, as the input values (x) increase, the output values (y) decrease.

Front

Back

Increasing

Front

Back

Increasing

Front

Back

Decreasing

Front

What is the minimum value of a function?

Back

The minimum value of a function is the lowest point on its graph, where the function takes its smallest output value.

Front

Back

Front

What is the significance of the x-coordinates in determining increasing or decreasing intervals?

Back

The x-coordinates help identify the specific ranges over which the function's output values change, indicating whether the function is increasing or decreasing.

Front

How can you visually determine if a function is increasing or decreasing from its graph?

Back

If the graph rises as you move from left to right, the function is increasing. If it falls, the function is decreasing.

Front

What is a critical point in the context of function graphs?

Back

A critical point is where the function's derivative is zero or undefined, indicating potential local maxima or minima.