Unit 4 Flashcard Review: Functions and Function Notation

Front

What is a function?

Back

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

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 variable.

Front

Evaluate f(6) if f(x) = 16(3x - 9).

Back

f(6) = 144.

Front

What is f(1) if f(x) = 16(3x - 9)?

Back

f(1) = 5.

Front

Is y a function of x if each x-value corresponds to multiple y-values?

Back

No, it is not a function.

Front

Is y a function of x if each x-value corresponds to exactly one y-value?

Back

Yes, it is a function.

Front

Given the graph, find x when f(x) = 2. If the answer is x = 1, what does this mean?

Back

It means that when the output of the function is 2, the input x is 1.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y) that the function can produce.