algebra 2/trigonometryname: __________________________ 6.6 worksheetdate: ________________ block:...
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π (π₯ )=π₯3β4 π₯2βπ₯+4
π (π₯ )=π₯3β7 π₯β6
Algebra 2/Trigonometry Name: __________________________6.6 Worksheet Date: ________________ Block: _____
For each polynomial, complete the following: (a) Use the Leading Coefficient Test to describe the end behavior. (b) Use your graphing calculator to locate one of the zeros. Then, find all remaining Zeros. All non- integer zeros must be written as improper fractions. You must show all work & checks for these! (c) Write the polynomial in factored form. (d) Sketch the graph of the polynomial. (You must include the y-intercept, all zeros, any relative
minima/maxima, and the basic shape using the Leading Coefficient Test).1.)
2.)
(a) Describe End Behavior: As x , ________. And as x -, ________.
(b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________
(d) Relative Minima/Maxima: _________________________________________________________
(a) Describe End Behavior: As x , ________. And as x -, ________.
(b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________
(d) Relative Minima/Maxima: _________________________________________________________
For each polynomial, complete the following: (a) Use the Leading Coefficient Test to describe the end behavior. (b) Use your graphing calculator to locate one of the zeros. Then, find all remaining Zeros. All non- integer zeros must be written as improper fractions. You must show all work & checks for these! (c) Write the polynomial in factored form. (d) Sketch the graph of the polynomial. (You must include the y-intercept, all zeros, any relative
minima/maxima, and the basic shape using the Leading Coefficient Test).3.)
4.)
π (π₯ )=βπ₯3+6 π₯2β11π₯+6
π (π₯ )=2π₯4β15 π₯3+23 π₯2+15π₯β25Note: you may
need to change the
scale on the y-axis.
(a) Describe End Behavior: As x , ________. And as x -, ________.
(b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________
(d) Relative Minima/Maxima: _________________________________________________________
(a) Describe End Behavior: As x , ________. And as x -, ________.
(b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________
(d) Relative Minima/Maxima: _________________________________________________________
π (π₯ )=π₯3β3 π₯2+π₯β3
π (π₯ )=π₯3+π₯2+9 π₯+9
For each polynomial, complete the following: (a) Use the Leading Coefficient Test to describe the end behavior. (b) Use your graphing calculator to locate one of the zeros. Then, find all remaining Zeros. All non- integer zeros must be written as improper fractions. You must show all work & checks for these! (c) Write the polynomial in factored form. (d) Sketch the graph of the polynomial. (You must include the y-intercept, all zeros, any relative
minima/maxima, and the basic shape using the Leading Coefficient Test).5.)
6.)
(a) Describe End Behavior: As x , ________. And as x -, ________.
(b) Zeros: ___________________ (c) Factored Form: ____________________________________
(d) Relative Minima/Maxima: _________________________________________________________
(a) Describe End Behavior: As x , ________. And as x -, ________.
(b) Zeros: ___________________ (c) Factored Form: ____________________________________
(d) Relative Minima/Maxima: _________________________________________________________
π (π₯ )=3 π₯3β19 π₯2+33π₯β9
For each polynomial, complete the following: (a) Use the Leading Coefficient Test to describe the end behavior. (b) Use your graphing calculator to locate one of the zeros. Then, find all remaining Zeros. All non- integer zeros must be written as improper fractions. You must show all work & checks for these! (c) Write the polynomial in factored form. (d) Sketch the graph of the polynomial. (You must include the y-intercept, all zeros, any relative
minima/maxima, and the basic shape using the Leading Coefficient Test).7.)
8.)
(a) Describe End Behavior: As x , ________. And as x -, ________.
(b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________
(d) Relative Minima/Maxima: _________________________________________________________
(a) Describe End Behavior: As x , ________. And as x -, ________.
(b) Zeros: ___________________ (c) Product of Linear Factors: ____________________________
(d) Relative Minima/Maxima: _________________________________________________________
π (π₯ )=βπ₯4+5 π₯3+3 π₯2β17 π₯+10Note: you
should change the scale on the y-axis.
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