Functions Flashcard 2 Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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

What does it mean to compose functions?

Back

Composing functions means applying one function to the result of another function, denoted as (f ∘ g)(x) = f(g(x)).

Front

If f(x) = 2x and g(x) = 3x + 2, find f(g(2)).

Back

f(g(2)) = f(3(2) + 2) = f(8) = 2(8) = 16.

Front

What is the notation for the composition of functions?

Back

The notation for the composition of functions is (f ∘ g)(x), which means f(g(x)).

Front

How do you find the domain of a composite function?

Back

To find the domain of a composite function f(g(x)), determine the domain of g(x) and then find the values of x for which g(x) is in the domain of f.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

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

Back

f(2) = 1/2.

Front

What is the significance of the range in a function?

Back

The range indicates the possible output values of a function, which helps in understanding the behavior and limitations of the function.