Domain and Range from Graph (AL2)

Front

What is the DOMAIN of a graph?

Back

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

Front

What is the RANGE of a graph?

Back

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

Front

How do you determine the domain from a graph?

Back

Identify the x-values that the graph covers; these values represent the domain.

Front

How do you determine the range from a graph?

Back

Identify the y-values that the graph covers; these values represent the range.

Front

What does it mean if the domain is 'all real numbers'?

Back

The function is defined for every possible x-value.

Front

What does it mean if the range is 'all real numbers'?

Back

The function can produce every possible y-value.

Front

If a graph is limited to -4 ≤ x ≤ 4, what is the domain?

Back

The domain is the set of x-values from -4 to 4, inclusive.

Front

If a graph is limited to -6 < y < 2, what is the range?

Back

The range is the set of y-values between -6 and 2, not including -6 and 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 a square of any real number is non-negative.