Domain and Range, Function notation

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 the notation f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

If f(x) = 2x + 3, what is f(1)?

Back

f(1) = 2(1) + 3 = 5.

Front

If f(x) = x^2, what is the range of f?

Back

The range of f(x) = x^2 is y ≥ 0.

Front

What is the maximum value of the function f(x) = -x^2 + 6?

Back

The maximum value is 6, occurring at x = 0.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2.

Front

What is the range of the function f(x) = x^2 - 4?

Back

The range is y ≥ -4.