#### Transcript of Domain & Range of Parent Functions

**Domain & Range of Parent Functions**

Objective & important terms

Objective: I will identify the domain and range in different parent functions.

Things You Need To Know:

Domain:The set of input value of a relation

Range:The set of output values of a relation

Discrete Function: A function whose graph consists of separate points

Continuous Function: A function whose graph is unbroken

Linear Parent Function: f(x)=x

Quadratic Parent Function: f(x)=x^2

Absolute Parent Function: f(x)=|x|

Square Root Parent Function: f(x)=

Introduction

Domain is the set of all possible input values (often the "x" variables) Simple functions like linear and quadratic usually have a domain of all real numbers. Range is a set of all possible output values (the ‘y” variables)

To find the domain & range of the 4 parent functions on a graph, look from left to right on the X axis & you can use set notation. Like X<0. You can also use the vertical line test to see if an equation is a function or not.

To find the domain and range in an equation, look for the “h” and “k” values.”

Lastly, if you are given a set of coordinates, you can figure out if its a relation or not, by seeing if any X values repeat.

Whiteboard Activity

Find the Domain & Range! First table to finish & get it right, gets a PRIZE!

1.) y = –x4 + 4

2.) State the domain and range of the following relation. Is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

3.) Find the domain and range of each equation.

y = x-12

y = x3

y = |x|

y = x2 + 3

Conclusion

Now you will use your knowledge and the information we presented to find the domain and range of given parent functions.

We're going to call on people to give their own definitions of these important terms.

What is the D&R for these?

Linear

Quadratic

Absolute

Square Root

Domain: (-∞, ∞)

Range: (-∞, ∞)

Linear Parent Function

Quadratic Parent Function

Domain: (-, )

Range: [0, )

Absolute Parent Function

Domain: (-∞, ∞)

Range: [0, ∞)

Square Root Parent Function

Domain: [0, ∞)

Range: [0, ∞)

4 MAIN PARENT FUNCTIONS & THEIR D&R

http://www.onlinequizcreator.com/en/domain-and-range/quiz-24393

**MINI QUIZ!**

1.) Domain

2.) Range

3.) Discrete Function

4.) Continuous Function

Full transcript