6-1 Key Features of Graphs

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What does it mean if a graph has a maximum?

Back

It means there is a highest point on the graph where the function value is greater than all nearby points.

Front

What does it mean if a graph has a minimum?

Back

It means there is a lowest point on the graph where the function value is less than all nearby points.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a y-intercept?

Back

The point where the graph intersects the y-axis, represented as (0, y).

Front

What is a relative minimum?

Back

A point on the graph where the function value is lower than the values of nearby points.

Front

What is a relative maximum?

Back

A point on the graph where the function value is higher than the values of nearby points.

Front

What does the term 'vertical line test' refer to?

Back

A method to determine if a relation is a function by checking if vertical lines intersect the graph more than once.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to be increasing?

Back

The function's output values rise as the input values increase.