algebra 2/trigonometryname: __________________________ 6.6 worksheetdate: ________________ block:...
TRANSCRIPT
𝑓 (𝑥 )=𝑥3−4 𝑥2−𝑥+4
𝑓 (𝑥 )=𝑥3−7 𝑥−6
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.)
𝑓 (𝑥 )=−𝑥3+6 𝑥2−11𝑥+6
𝑓 (𝑥 )=2𝑥4−15 𝑥3+23 𝑥2+15𝑥−25Note: 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: _________________________________________________________
𝑓 (𝑥 )=𝑥3−3 𝑥2+𝑥−3
𝑓 (𝑥 )=𝑥3+𝑥2+9 𝑥+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: _________________________________________________________
𝑓 (𝑥 )=3 𝑥3−19 𝑥2+33𝑥−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).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: _________________________________________________________
𝑓 (𝑥 )=−𝑥4+5 𝑥3+3 𝑥2−17 𝑥+10Note: you
should change the scale on the y-axis.