Intervals of increasing/decreasing

Front

What is an interval of increasing on a graph?

Back

An interval of increasing on a graph is a section where the y-values (output) increase as the x-values (input) increase.

Front

What is an interval of decreasing on a graph?

Back

An interval of decreasing on a graph is a section where the y-values (output) decrease as the x-values (input) increase.

Front

What does a positive slope indicate about a function's behavior?

Back

A positive slope indicates that the function is increasing.

Front

What does a negative slope indicate about a function's behavior?

Back

A negative slope indicates that the function is decreasing.

Front

What does a zero slope indicate in the context of a graph?

Back

A zero slope indicates that the function is constant; there is no change in y-values as x-values change.

Front

How can you determine intervals of increasing or decreasing from a graph?

Back

You can determine intervals of increasing or decreasing by observing the direction of the graph: if it rises, it's increasing; if it falls, it's decreasing.

Front

What is the significance of the slope in real-world scenarios?

Back

The slope can represent rates of change, such as speed, growth, or decline in various contexts like hiking, business, or population.

Front

How do you find the slope between two points on a graph?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a graph has a steep slope?

Back

A steep slope indicates a rapid change in y-values with respect to x-values, meaning the function is increasing or decreasing quickly.

Front

What is a local maximum on a graph?

Back

A local maximum is a point where the function reaches a peak in a specific interval, meaning it is higher than the points immediately around it.