Which of the following equations and graphs represent polynomial functions? For those that are not polynomials, explain why not. Review the Math Notes box in this lesson for information about polynomials. a. f(x) = 8x° +x² +6.5x* +6 8-9. %3! b. y =x +19x? Polynomial Function? yes or no Polynomial Function? yes or no Why or why not? Why or why not? C. d. Polynomial Function? Polynomial Function? 12 yes or no yes or no Why or why not? Why or why not? Heie fol, uega nogooph

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
8-9 a and b and c
-1)* (x +1)
ke a table that includes integer x-values from -2 to 2 and sketch each
y
b. y = (x - 1)° (x + 1)*
-2
b-
-1
-2
-1
1
-3
c. y = x° - 4x
d. Recall that the degree of a polynomial is the
highest power of the variable when the polynomial is
written in standard form. What is the degree of each
polynomial in parts (a) through (c)?
y
-2
-1
6.
a =
= (x-1)(XF)
- (x'+1 - 2x )(k+\)
- (xx -2L
b =_4
1
="x"-Zx+1
C =
Highest foweso fue
3.
Which of the following equations and graphs represent polynomial functions? For those that are not polynomials,
8-9.
explain why not. Review the Math Notes box in this lesson for information about polynomials.
a. f(x)= 8x$ + x² +6.5x* + 6
b. y =x° +19x?
Polynomial Function?
yes
or
no
Polynomial Function?
yes
or
no
Why or why not?
Why or why not?
C.
d.
Polynomial Function?
12-
Polynomial Function?
12-
yes
or
no
yes
no
or
8-
Why or why not?
Why or why not?
domGIu gt
(-8, 00)
Acic for, uega nogoogen
shuot folynoulel
Rolyuonial
4+
H H + +| H
-4
4
4
8.
12 X
e.
1
f. y = x? +
x? +5
Polynomial Function?
2
-100-
4 x*
Polynomial Function?
no
yes
or
yes
or
no
200+
Why or why not?
1tiscontuing cRanal
Pólyucmial hav powess
olway postive't watdenauta
Why or why not?,
300-
- 400+
- 500
Write an equation for a new function that is a polynomial and for a new function that is not a polynomial.
fal
Not a Polynomial:
Polynomial:
Transcribed Image Text:-1)* (x +1) ke a table that includes integer x-values from -2 to 2 and sketch each y b. y = (x - 1)° (x + 1)* -2 b- -1 -2 -1 1 -3 c. y = x° - 4x d. Recall that the degree of a polynomial is the highest power of the variable when the polynomial is written in standard form. What is the degree of each polynomial in parts (a) through (c)? y -2 -1 6. a = = (x-1)(XF) - (x'+1 - 2x )(k+\) - (xx -2L b =_4 1 ="x"-Zx+1 C = Highest foweso fue 3. Which of the following equations and graphs represent polynomial functions? For those that are not polynomials, 8-9. explain why not. Review the Math Notes box in this lesson for information about polynomials. a. f(x)= 8x$ + x² +6.5x* + 6 b. y =x° +19x? Polynomial Function? yes or no Polynomial Function? yes or no Why or why not? Why or why not? C. d. Polynomial Function? 12- Polynomial Function? 12- yes or no yes no or 8- Why or why not? Why or why not? domGIu gt (-8, 00) Acic for, uega nogoogen shuot folynoulel Rolyuonial 4+ H H + +| H -4 4 4 8. 12 X e. 1 f. y = x? + x? +5 Polynomial Function? 2 -100- 4 x* Polynomial Function? no yes or yes or no 200+ Why or why not? 1tiscontuing cRanal Pólyucmial hav powess olway postive't watdenauta Why or why not?, 300- - 400+ - 500 Write an equation for a new function that is a polynomial and for a new function that is not a polynomial. fal Not a Polynomial: Polynomial:
-1
1
1
-3
C. y = x° - 4x
d. Recall that the degree of a polynomial is the
highest power of the variable when the polynomial is
written in standard form. What is the degree of each
polynomial in parts (a) through (c)?
6.
-2
-1
a =
= (x-1)(xH|
(x*+I - 2x )(k+\)
%3D
b D
1
C =
Higuest poweso flvoe
8-9.
Which of the following equations and graphs represent polynomial functions? For those that are not polynomials,
explain why not. Review the Math Notes box in this lesson for information about polynomials.
a. f(x) = 8x° +x² +6.5x +6
b.
y =x° +19x?
Polynomial Function?
yes
Polynomial Function?
or
no
yes
or
no
Why or why not?
Why or why not?
C.
d.
12-
Polynomial Function?
Polynomial Function?
12
yes
or no
yes
or
no
Why or why not?
dgmangt Polyuanial
Heie fol, nega nogaph
Why or why not?
4-
ihuot folynoulel
f. y = x² +
4.
12
4.
1
e.
x2 +5
Transcribed Image Text:-1 1 1 -3 C. y = x° - 4x d. Recall that the degree of a polynomial is the highest power of the variable when the polynomial is written in standard form. What is the degree of each polynomial in parts (a) through (c)? 6. -2 -1 a = = (x-1)(xH| (x*+I - 2x )(k+\) %3D b D 1 C = Higuest poweso flvoe 8-9. Which of the following equations and graphs represent polynomial functions? For those that are not polynomials, explain why not. Review the Math Notes box in this lesson for information about polynomials. a. f(x) = 8x° +x² +6.5x +6 b. y =x° +19x? Polynomial Function? yes Polynomial Function? or no yes or no Why or why not? Why or why not? C. d. 12- Polynomial Function? Polynomial Function? 12 yes or no yes or no Why or why not? dgmangt Polyuanial Heie fol, nega nogaph Why or why not? 4- ihuot folynoulel f. y = x² + 4. 12 4. 1 e. x2 +5
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