Function Evaluation and Operation Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every input value, there is a unique output value.

Front

What is function evaluation?

Back

Function evaluation is the process of finding the output of a function for a specific input value.

Front

How do you determine if a mapping diagram represents a function?

Back

A mapping diagram represents a function if each input value is connected to exactly one output value, meaning there are no repeating input values.

Front

What is the difference between a function and a non-function?

Back

A function has unique output values for each input, while a non-function may have one or more input values that correspond to multiple output values.

Front

What is the vertical line test?

Back

The vertical line test is a method used 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 to perform an operation on functions?

Back

Performing an operation on functions involves combining two or more functions using addition, subtraction, multiplication, or division.

Front

What is the notation for function composition?

Back

Function composition is denoted as (f ∘ g)(x), which means to apply function g first and then apply function f to the result.

Front

How do you evaluate a function at a given value?

Back

To evaluate a function at a given value, substitute the value into the function's equation and simplify to find the output.

Front

What is a function table?

Back

A function table is a way to organize input-output pairs of a function, showing how each input corresponds to its output.

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.