16B QZZ Functions & 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

How do you determine if a set of values is a function?

Back

A set of values is a function if no two different inputs (x-values) map to the same output (y-value).

Front

What does f(3) represent in function notation?

Back

f(3) represents the output of the function f when the input is 3.

Front

What is the value of f(x) if f(x) = 2x - 10 and x = 5?

Back

f(5) = 2(5) - 10 = 0.

Front

How do you read f(x)?

Back

You read f(x) as 'f of x'.

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

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

If f(x) = 2x - 10, what is f(8)?

Back

f(8) = 2(8) - 10 = 6.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.