Domain and Range of graphs

Front

What is the definition of Domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) that will not cause any undefined behavior in the function.

Front

What is the definition of Range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that the function can output.

Front

What does it mean if a function has a domain of x ≥ 0?

Back

It means that the function is defined for all values of x that are greater than or equal to 0.

Front

What does it mean if a function has a range of y ≥ 0?

Back

It means that the function can output values of y that are greater than or equal to 0.

Front

If a function has a domain of (-3, 3], what does this indicate?

Back

This indicates that the function is defined for all values of x greater than -3 and up to and including 3.

Front

If a function has a range of [-2, ∞), what does this indicate?

Back

This indicates that the function can output values of y starting from -2 and going up to infinity.

Front

True or False: The domain of a function can include negative numbers.

Back

True, the domain can include negative numbers depending on the function.

Front

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

Back

The domain is x ≥ 0, since the square root of a negative number is not defined in the set of real numbers.

Front

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

Back

The range is y ≥ 0, since the square of any real number is non-negative.

Front

If a function has a domain of all real numbers, what does this mean?

Back

It means that the function is defined for every possible value of x.