Unit 4 review: Functions, Qualitative Graphs, Slope

Front

What is a function?

Back

A function is a relationship between two sets where each input (x-value) is associated with exactly one output (y-value).

Front

What does a horizontal line on a graph represent?

Back

A horizontal line indicates that there is no change in the y-value as the x-value changes, meaning the object is stationary.

Front

What is slope in the context of a graph?

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

How do you determine the rate of change from a graph?

Back

The rate of change can be determined by finding the slope of the line connecting two points on the graph.

Front

What does it mean if a graph is increasing?

Back

An increasing graph indicates that as the x-values increase, the y-values also increase.

Front

What does it mean if a graph is decreasing?

Back

A decreasing graph indicates that as the x-values increase, the y-values decrease.

Front

What is a qualitative graph?

Back

A qualitative graph represents data that can be observed but not measured, showing trends and relationships rather than exact values.

Front

What does it mean for two lines to have the same rate of change?

Back

If two lines have the same rate of change, they are parallel and will never intersect, indicating they have the same slope.

Front

What is the significance of a section of a graph that is vertical?

Back

A vertical section of a graph indicates an undefined slope, meaning the x-value does not change while the y-value does.

Front

How can you tell if someone is stationary on a distance-time graph?

Back

If the graph shows a horizontal line, it indicates that the person is stationary, as their distance from the starting point does not change.