CA&T Domain and Range Review

Front

What is the definition of 'domain' in 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 definition of 'range' in a function?

Back

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

Front

What does it mean if a function has a domain of x ≥ -2?

Back

It means that the function is defined for all real numbers greater than or equal to -2.

Front

What does it mean if a function has a range of [-1, ∞)?

Back

It means that the output values of the function start from -1 and go up to positive infinity, including -1.

Front

How do you determine the domain of a graph?

Back

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

Front

How do you determine the range of a graph?

Back

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

Front

What is the domain of the function f(x) = √(x + 2)?

Back

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

Front

If a graph has a domain of (-4, 6), what does this indicate?

Back

It indicates that the function is defined for all x-values between -4 and 6, not including -4 and 6.

Front

What is the significance of closed intervals in domain and range?

Back

Closed intervals indicate that the endpoints are included in the set of values.