Domain and Range

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

How do you determine the domain of a function from its 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 function from its graph?

Back

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

Front

What does it mean for a function to have a domain of all real numbers greater than or equal to -7?

Back

It means that the function accepts any input value starting from -7 and extending to positive infinity.

Front

What does it mean for a function to have a range of all real numbers greater than or equal to -6?

Back

It means that the function outputs values starting from -6 and extending to positive infinity.

Front

If a function has a maximum height of 2000 centimeters, what can be inferred about its range?

Back

The range must include all values from the minimum height (usually 0) to 2000 centimeters.

Front

What is the significance of the x-axis in determining the domain of a function?

Back

The x-axis represents the input values; the domain is determined by the extent of the graph along the x-axis.

Front

What is the significance of the y-axis in determining the range of a function?

Back

The y-axis represents the output values; the range is determined by the extent of the graph along the y-axis.

Front

How can you express the domain of a function that is only defined for a specific interval?

Back

The domain can be expressed using interval notation, such as [0, 4) for values from 0 to 4, including 0 but not 4.