Scribd
Upload
336 views21 pages

Graphing Radical Functions - D Range

The document discusses graphing radical functions. It states that the graph of a radical function y=√x + k is a translation of the graph of y=√x. If k is positive, the graph is translated k units up, and if k is negative, it is translated k units down. Examples are given of translating the square root parent function both vertically and horizontally. Key vocabulary defined includes radical expressions, functions, and the parent square root function y=√x. The domain of a radical function is related to not being able to take the square root of a negative number, while the range depends on the value inside and outside the radical.

Uploaded by

api-276566085
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PPT, PDF, TXT or read online on Scribd
336 views21 pages

Graphing Radical Functions - D Range

The document discusses graphing radical functions. It states that the graph of a radical function y=√x + k is a translation of the graph of y=√x. If k is positive, the graph is translated k units up, and if k is negative, it is translated k units down. Examples are given of translating the square root parent function both vertically and horizontally. Key vocabulary defined includes radical expressions, functions, and the parent square root function y=√x. The domain of a radical function is related to not being able to take the square root of a negative number, while the range depends on the value inside and outside the radical.

Uploaded by

api-276566085
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PPT, PDF, TXT or read online on Scribd
You are on page 1/ 21

What youll learn

Graph radical functions

A radical equation defines a radical function.


The graph of the radical function y= x + k is
a translation of the graph of y= x. If k is
positive, the graph is translated k units up. If
k is negative, the graph is translated k units
down.

A radical equation defines a radical function.


The graph of the radical function y= x + k is
a translation of the graph of y= x. If k is
positive, the graph is translated k units up. If
k is negative, the graph is translated k units
down.

Example 2 Translating Square


Root Functions Horizontally

y = x

y = x + 3

Vocabulary
A radical expression is an expression that
contains a radical, such as a square root, cube
root, or other root.
A radical function contains a radical expression
with the independent variable in the radicand.
Example:

f ( x) x

Vocabulary
If the radical is a square
root, then the function is
called a square root
function.
The most basic square root
function in the family of all
square root functions, called
the parent square root
function, is y x

Remember!!!
Can we have a negative underneath the square
root?????

NO

Example 1:
Graph y = 5 x. And compare it to the parent
function y =
X
Y

x.

Example 2:

1
Graph y =
x . Compare with the parent function
2
y = x.
X
Y

Example 3:
Graph y =
y=

x.
X
Y

x 2. Compare to the parent function

Video
https://www.khanacademy.org/math/algebra/algebra-funct
ions/domain_and_range/v/domain-of-a-radical-function

Domain and Range of Radical


Functions
Recall : There are two main reasons
why domains are restricted.

You cant divide by 0. (Rational Functions)

You cant take the square (or other


even) root of a negative number. (Radical
Functions)

Notes (copy):
Domain & Range

y x 1 3
Whats under the
radical determines
starting point of the

Whats after the


radical determines
starting point of the

DOMAIN

RANGE

Domain & Range

y x 1 3
Domain:

Range:

[-1, )

[3, )

Now.lets examine
how and the Domain is
[-1, ), as well the
Range is [3, )

Ex. 2 Domain and Range

y 3x 1 5
1
D :[ , )
3

R :[5, )

Notes Domain& Range.


Index- the root youre taking.
a. Odd index function- the domain
& range is all real numbers.
b. Even index function
1. Domain (must solve for)
2. Range - all the points of the yaxis that relates to the given
values of the domain. (Ex. Starting
points)

Domain Odd vs. Even Indexes

RANGE for Odd and Even indexes

You might also like