Functions & Function Notation

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-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.

Front

How do you evaluate a function?

Back

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

Front

What does f(9) mean in function notation?

Back

f(9) represents the output of the function f when the input is 9.

Front

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

Back

Yes, because each x-value has only one corresponding y-value.

Front

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

Back

No, because the x-value 1 has two different y-values (2 and 3).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if any vertical line intersects the graph more than once.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

If f(x) = 2x + 3, what is f(4)?

Back

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