Domain and Range of Graphs

Front

What is the definition of 'domain' in relation to graphs?

Back

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

Front

What is the definition of 'range' in relation to graphs?

Back

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

Front

What does the notation [-3, 1) represent in terms of range?

Back

It indicates that the range includes -3 and all values up to, but not including, 1.

Front

What does the notation (-∞, ∞) represent in terms of domain?

Back

It indicates that the domain includes all real numbers, from negative infinity to positive infinity.

Front

How do you determine the domain of a graph visually?

Back

The domain is determined by looking at the horizontal extent of the graph from left to right.

Front

How do you determine the range of a graph visually?

Back

The range is determined by looking at the vertical extent of the graph from bottom to top.

Front

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

Back

The domain is [1, ∞) because the function is only defined for x values greater than or equal to 1.

Front

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

Back

The range is [0, ∞) because the output values (y-values) are always non-negative.

Front

What does the notation (a, b) signify in terms of intervals?

Back

It signifies an open interval that does not include the endpoints a and b.

Front

What does the notation [a, b] signify in terms of intervals?

Back

It signifies a closed interval that includes both endpoints a and b.