Functions and Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is function notation?

Back

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

Front

What does f(2) represent?

Back

f(2) represents the output of the function f when the input x is 2.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation and simplify.

Front

What is the vertical line test?

Back

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

Front

What does it mean for a relation to be a function?

Back

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

Front

What is the output of f(x) = -3(x - 1) when x = 0?

Back

The output is 3.

Front

If a function has an x-value of 11 with two different y-values, is it a function?

Back

No, it is not a function because each x-value must have only one y-value.

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.