Exploring Piecewise Functions

What should you have ready before starting the introduction to piecewise functions?

• A computer

• A textbook

• Your notes

• A calculator

What is a piecewise function?

• A function that is always linear

• A function with at least two different rules for different parts of the domain

• A function that only applies to positive x values

• A function with a single rule for all x values

What does the domain of a function refer to?

• The intercept

• The slope

• The x values

• The y values

What is one characteristic of piecewise functions?

• They have a constant rate of change

• They are always quadratic

• They have varied rates of change

• They use only one expression

What notation is used instead of 'y' in piecewise functions?

• f(x)

• h(x)

• k(x)

• g(x)

What symbol is used to group expressions in a piecewise function?

• Curly braces

• Parentheses

• Angle brackets

• Square brackets

In the given example, what is the expression for the interval 0 < x < 5?

• 4x

• 3x - 5

• 2x + 10

• x^2

What is the expression for the interval 5 < x < 10 in the example?

• 4x

• 3x - 5

• x^2

• 2x + 10

Which of the following is NOT a piecewise function?

• A function with two different linear expressions

• A quadratic function

• A function with different rules for different x intervals

• A function with varied slopes

What should you do after writing down the introduction to piecewise functions?

• Start practicing

• Read a book

• Watch another video

• Take a break