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Function Values and Zeros

1) The document discusses finding function values, zeros, and domains of functions. It provides examples of setting functions equal to 0 and solving to find the x-intercepts or zeros. 2) Methods are presented for finding the domain by determining which x-values do not result in undefined outputs. Examples show finding the domain by ensuring denominators are not 0 and radicals are not negative. 3) Students are instructed that to find zeros, they set the function equal to 0 and solve for x, while the domain finds all x-values that give defined outputs when substituted into the function.

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TylerShaw
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47 views7 pages

Function Values and Zeros

1) The document discusses finding function values, zeros, and domains of functions. It provides examples of setting functions equal to 0 and solving to find the x-intercepts or zeros. 2) Methods are presented for finding the domain by determining which x-values do not result in undefined outputs. Examples show finding the domain by ensuring denominators are not 0 and radicals are not negative. 3) Students are instructed that to find zeros, they set the function equal to 0 and solve for x, while the domain finds all x-values that give defined outputs when substituted into the function.

Uploaded by

TylerShaw
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Notes 2.3 Function Values and Zeros­2018.

notebook October 31, 2018

Notes 2.1 Functions Values and Zeros page 13
Use the graph of the function to find the indicated values.

(­2,__)  find f(­4) _____ f(­2) ___


8 f(1) ____
find y when x = ­4

Converse: Find x for:
f(x) = 5 f(x) = 0
(­4,__)

1
Notes 2.3 Function Values and Zeros­2018.notebook October 31, 2018

II. Zeros of a Function: the x­values for which f(x ) = 0.
To find the zeros of a function, set the function equal to zero and solve for x .

A.  Find the zeros (also called roots or solutions) of the given function algebraically.

To find Zeros: set equation = zero and solve
1. f (x)=  3x2 + 22x – 16

Domain:

2
Notes 2.3 Function Values and Zeros­2018.notebook October 31, 2018

Domain:

(0,0), (2,0),(­2,0)

3
Notes 2.3 Function Values and Zeros­2018.notebook October 31, 2018

Domain:

4
Notes 2.3 Function Values and Zeros­2018.notebook October 31, 2018

Domain:

(1/2,0)

5
Notes 2.3 Function Values and Zeros­2018.notebook October 31, 2018

­9(2x­1)

Zeros:

Domain:
Zeros:

Domain:

6
Notes 2.3 Function Values and Zeros­2018.notebook October 31, 2018

Summary: Yesterday's lesson
1) When asked to find the DOMAIN, you are finding:
All values of X that work 
(when substituted in you get a defined value for y)
Process:
Look for fractions ­ denominator  cannot = 0
Lood for even root radicals ­­> Numerator must be greater or equal to 0
­­> Denominator must be greater than 0

Today's lesson
2) When asked to find the ZEROS, you are finding:

x when y = 0 (the x intercepts)
Process:

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