Operations with Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

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 find f(x) - g(x)?

Back

To find f(x) - g(x), subtract the expression of g(x) from f(x) for all x in the domain.

Front

If f(x) = x^2 + 1 and g(x) = 2x - 5, what is f(x) - g(x)?

Back

f(x) - g(x) = x^2 - 2x + 6.

Front

How do you find f(x) + g(x)?

Back

To find f(x) + g(x), add the expressions of f(x) and g(x) for all x in the domain.

Front

If f(x) = 9 - 3x and g(x) = 5x - 7, what is f(x) + g(x)?

Back

f(x) + g(x) = 2x + 2.

Front

What is the output of a function?

Back

The output of a function is the value that results from applying the function to an input from its domain.

Front

What is the relationship between domain and range?

Back

The domain consists of input values, while the range consists of output values that result from those inputs.

Front

What does it mean for a function to be defined?

Back

A function is defined when there is a valid output for every input in its domain.