Exploring Functions and Their Operations

This video tutorial covers the concept of functions, including their notation, domain, and range. It explains how to represent functions using mapping diagrams, ordered pairs, tables, and graphs. The tutorial also demonstrates how to evaluate functions using function notation and perform operations such as addition, subtraction, multiplication, and division on functions.

What is the relationship called where each element in the domain corresponds to exactly one element in the range?

• Many-to-many relationship

• One-to-one relationship

• None of the above

• Many-to-one relationship

Which of the following is NOT a way to represent functions?

• Mapping diagrams

• Equations

• Ordered pairs

• Tables

In a mapping diagram, what indicates that it is NOT a function?

• Each element of the range maps to only one element of the domain

• One element of the range maps to more than one element of the domain

• Each element of the domain maps to only one element of the range

• One element of the domain maps to more than one element of the range

What test is used to determine if a graph represents a function?

• None of the above

• Vertical line test

• Diagonal line test

• Horizontal line test

If a vertical line intersects a graph at more than one point, what does it indicate?

• The graph does not represent a function

• The graph is linear

• The graph represents a function

• The graph is quadratic

How do you list the domain of a function?

• List all y-values from greatest to least

• List all y-values from least to greatest

• List all x-values from least to greatest

• List all x-values from greatest to least

In function notation, what does f(x) represent?

• The function itself

• The variable x

• The input value

• The output value

What is the result of evaluating the function f(x) = -4x + 1 at x = -2?

• 10

• 7

• 8

• 9

When performing operations with functions, what does f + g of x mean?

• Divide f(x) by g(x)

• Subtract f(x) from g(x)

• Multiply f(x) by g(x)

• Add f(x) and g(x)

What must be true for the denominator in a function division operation?

• It must be greater than zero

• It must be less than zero

• It must not be equal to zero

• It must be a positive integer