Intervals of Graphs

Front

What is an interval in a graph?

Back

An interval in a graph is a range of values on the x-axis or y-axis that indicates where a function is defined or where certain properties hold.

Front

What does a constant interval mean?

Back

A constant interval means that the value of the function does not change over that range of x-values.

Front

How do you identify increasing intervals on a graph?

Back

Increasing intervals are identified where the graph rises as you move from left to right.

Front

How do you identify decreasing intervals on a graph?

Back

Decreasing intervals are identified where the graph falls as you move from left to right.

Front

What is the significance of the x-axis on a graph?

Back

The x-axis typically represents the independent variable in a function, often indicating time or quantity.

Front

What is the significance of the y-axis on a graph?

Back

The y-axis typically represents the dependent variable in a function, showing the output or result of the independent variable.

Front

What does it mean for a graph to be constant over an interval?

Back

It means that the function's output value remains the same for all input values within that interval.

Front

How can you determine the length of an interval on a graph?

Back

The length of an interval can be determined by subtracting the lower bound from the upper bound of the interval.

Front

What is a closed interval?

Back

A closed interval includes its endpoints, denoted as [a, b], meaning both a and b are part of the interval.

Front

What is an open interval?

Back

An open interval does not include its endpoints, denoted as (a, b), meaning a and b are not part of the interval.