Intervals and Sketching Functions HW

Front

What is a function?

Back

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

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line crosses the graph more than once, it is not a function.

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing when the y-values rise as the x-values increase.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing when the y-values fall as the x-values increase.

Front

What does a constant graph indicate?

Back

A constant graph indicates that the y-value does not change as the x-value changes.

Front

What is an interval in the context of graphing?

Back

An interval is a range of x-values over which a function behaves in a certain way (increasing, decreasing, or constant).

Front

What does it mean for a graph to have a constant interval?

Back

A constant interval means that the function's output remains the same over that range of input values.

Front

What is the significance of a graph's slope?

Back

The slope indicates the rate of change of the function; a positive slope means increasing, while a negative slope means decreasing.

Front

What does a flat section on a graph represent?

Back

A flat section represents a constant interval where the output does not change.

Front

How can you interpret a graph that shows distance over time?

Back

The graph can show how far an object has traveled at different times, indicating speed and direction.