Unit 4 Flashcard Review: Functions and Function Notation

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 function notation?

Back

Function notation is a way to denote functions using symbols, typically written as f(x), where 'f' is the function name and 'x' is the input variable.

Front

What does it mean for a set of points to be a function?

Back

A set of points is a function if no two different points have the same x-coordinate.

Front

Identify if the following set of points is a function: (1,2), (2,3), (1,4).

Back

Not a function, because the x-coordinate '1' is associated with two different y-values (2 and 4).

Front

Evaluate the function f(x) = 2x + 3 at x = 4.

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

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) = x^2, what is f(-3)?

Back

f(-3) = (-3)^2 = 9.

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

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

Yes, it is a function because each x-value is associated with exactly one y-value.