Domain and Range rti

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you determine the domain from a graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying the y-values that the graph covers.

Front

What does the notation (-3, 3] represent?

Back

The notation (-3, 3] represents an interval where -3 is not included (open) and 3 is included (closed).

Front

What does the notation [-15, ∞) represent?

Back

The notation [-15, ∞) represents an interval where -15 is included (closed) and extends infinitely upwards.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints, while closed intervals do include their endpoints.

Front

What is the domain of the function f(x) = √(x - 1)?

Back

The domain is [1, ∞) because the expression under the square root must be non-negative.

Front

What is the range of the function f(x) = x^2?

Back

The range is [0, ∞) because the output of x^2 is always non-negative.

Front

How can you express the range of a function using interval notation?

Back

The range can be expressed using interval notation, which uses brackets [ ] for closed intervals and parentheses ( ) for open intervals.