Domain & Range From Graphs

Front

What is the definition of RANGE in mathematics?

Back

The range of a function is the set of all possible output values (y-values) that result from using the function.

Front

What does it mean if a graph has a range of [-2, ∞)?

Back

It means that the lowest value of the function is -2, and it can take any value greater than -2, including -2 itself.

Front

True or False: 3 is a range value in the relation graphed if the range is [-2, ∞).

Back

True

Front

What is the range of the set of values {-5, -1, 0, 1, 5}?

Back

The range is the set itself: {-5, -1, 0, 1, 5}.

Front

What is the range of a function that outputs all real numbers?

Back

The range is All Real Numbers.

Front

Is the graph of a function that only includes specific points (like dots) Discrete or Continuous?

Back

Discrete.

Front

What is the difference between discrete and continuous functions?

Back

Discrete functions consist of distinct, separate values, while continuous functions can take any value within a given range.

Front

How do you determine the range from a graph?

Back

Identify the lowest and highest points on the graph and the values that the function can take between those points.

Front

If a graph has a maximum value of 1 and a minimum value of -1, what is the range?

Back

The range is [-1, 1].

Front

What does it mean if a function's range is (6, 0)?

Back

This notation is incorrect; ranges should be written with the lower value first. The correct range should be (0, 6).