Domain and Range 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 is the range of a function?

Back

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

Front

How do you determine the domain from a graph?

Back

Identify the x-values that correspond to the points on the graph.

Front

How do you determine the range from a graph?

Back

Identify the y-values that correspond to the points on the graph.

Front

What does it mean if a function has a domain of 1 ≤ x ≤ 5?

Back

The function is defined for x-values between 1 and 5, inclusive.

Front

What does it mean if a function has a range of -2 ≤ y ≤ 3?

Back

The function outputs y-values between -2 and 3, inclusive.

Front

If a graph extends infinitely to the left and right, what is its domain?

Back

The domain is all real numbers, represented as -∞ < x < ∞.

Front

If a graph has a horizontal line at y = 2, what is its range?

Back

The range is y = 2.

Front

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

Back

The domain is x ≥ 1, since 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 y ≥ 0, since the output of x^2 is always non-negative.