functions domain range

Front

What is the domain of 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 range of 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 if a relation is a function?

Back

A relation is a function if every x-value has exactly one corresponding y-value.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value gives a unique y-value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the x-value 1 has two different y-values.

Front

What does it mean for a function to be defined for all real numbers?

Back

A function is defined for all real numbers if its domain includes every possible x-value from negative infinity to positive infinity.

Front

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

Back

The domain of f(x) = 1/x is all real numbers except x = 0.

Front

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

Back

The range of f(x) = x^2 is all real numbers y such that y ≥ 0.

Front

How can you find the domain of a function from its graph?

Back

The domain can be found by identifying the x-values for which the graph has points.

Front

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

Back

The range of f(x) = -x^2 + 4 is all real numbers y such that y ≤ 4.