A.2A Domain and Range Review

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 (input) for which the function is defined.

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 (output) that results from using the function.

Front

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

Back

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

Front

What is the domain of the function g(x) if it is defined for -9 < x ≤ 2?

Back

The domain is the set of x-values such that -9 < x ≤ 2.

Front

What is the range of the function y = 45x + 80 for 0 ≤ x ≤ 8?

Back

The range is 80 ≤ y ≤ 440.

Front

What does the notation x ≥ -2 represent in terms of domain?

Back

It indicates that x can take any value greater than or equal to -2.

Front

What does the notation y ≥ 4.5 represent in terms of range?

Back

It indicates that y can take any value greater than or equal to 4.5.

Front

If a function has a fixed cost of $80 and charges $45 per hour, how is the total cost calculated?

Back

Total cost y is calculated as y = 45x + 80, where x is the number of hours worked.

Front

What is the significance of a maximum value in a function's domain?

Back

The maximum value restricts the upper limit of the input values for which the function is defined.