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Domain & Range of Parent Functions

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Michelle Tran

on 30 May 2014

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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)=

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

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?
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, ∞)

1.) Domain
2.) Range
3.) Discrete Function
4.) Continuous Function
Full transcript