Interpreting Graphs

Front

What is a graph?

Back

A graph is a visual representation of data that shows the relationship between two or more variables.

Front

What does the x-axis typically represent in a distance vs. time graph?

Back

The x-axis usually represents time.

Front

What does the y-axis typically represent in a distance vs. time graph?

Back

The y-axis usually represents distance.

Front

What is a function in mathematics?

Back

A function is a relationship where each input has exactly one output.

Front

What does it mean for a graph to be a function of time?

Back

It means that for each moment in time, there is a specific distance associated with it.

Front

What type of graph would represent a runner sprinting back and forth?

Back

A graph that shows distance fluctuating over time, indicating changes in direction.

Front

How would the graph of a space shuttle's distance from Earth look during launch?

Back

It would show a steep increase in distance over time as the shuttle ascends.

Front

What kind of graph represents the distance of a Ferris wheel rider from the ground?

Back

A periodic graph that rises and falls, showing the circular motion of the ride.

Front

What is a non-function graph?

Back

A graph where a single input (time) can correspond to multiple outputs (distances), failing the vertical line test.

Front

How does the Earth's distance from the Sun change over time?

Back

It follows an elliptical orbit, resulting in a graph that fluctuates but generally trends in a periodic manner.