Consider the function f ( x ) x 4 3 x 3 2 0 x 2 2 4 x 8 A ) Find the zeros of the function f ( x ) given above 5 pt B ) Write the function f ( x ) given above as a product of linear factors ( in a completely factored form ) 2 pt ( HINT You need to use your answers from part A ) f ( x ) q , Find a 4 t h degree polynomial that satisfies the following conditions 3 pt i and 3 i are zeros and f ( 1 ) 8 0 f ( x ) Follow the directions given in each problem Show ALL work for FULL credit Correct answers with no work shown will not receive full credit Incorrect answers with work may receive partial credit Place your final answer in the space provided Point value for each is given in parentheses A ) Fill in the blanks If the functions f and g are inverses of each other, then f g ( x ) and g f ( x ) 2 pt B ) Are the functions f and g inverses of each other Show work to support your answer 4 pt f ( x ) 3 x 7 , g ( x ) 7 x 3 B 2 ) Consider the function f ( x ) 5 x 3 6 A ) Explain how you would verify the function f is one to one ( You do NOT have to do it , just EXPLAIN what you would do ) B ) Find the inverse function of f 4 p t The graph of a function f is given below A ) Is the function f one to one 1 pt A B ) State the domain and the range of the function f 1 5 p t Domain Range C ) Neatly sketch the graph of the inverse function, f 1 , on the same grid above that contains the graph of f 2 pt D ) State the domain and the range of the function f 1 1 5 pt Domain Range E ) Describe the relation between the graph of f and the graph of f 1 2 pt PLEASE SHOW ALL WORK Follow the directions given in each problem Show ALL work for FULL credit Correct answers with no work shown will not receive full credit Incorrect answers with work may receive partial credit Place your final answer in the space provided Point value for each question is given in brackets 1 ) Complete the following 3 pt The Remainder Theorem states that if r is the remainder after dividing the polynomial function f ( x ) by ( x c ) , ther 2 ) Complete the following 3 pt The Factor Theorem states that if c is a zero of a polynomial function, then is a of the same polynomial function 3 ) Complete the following 3 p t A zero of a polynomial function is any number that makes q , 4 ) List two of the three characteristics of the graphs of a polynomial function that we have discussed in class 4 pt 5 ) Given that 1 is a zero of the polynomial f ( x ) x 3 4 x 2 x 6 , complete each of the following 4 pt A ) is a factor of the polynomial f ( x ) B ) ( 1 , 0 ) is an of the graph of f ( x ) 6 ) Use synthetic division and the Remainder Theorem to find f ( 2 ) , given f ( x ) 3 x 4 5 x 3 x 6 6 pt 6 7 ) Consider the function f ( x ) 2 x 3 3 x 2 9 x 2 0 9 pt A ) List all the possible rational zeros for this function A B ) Is 5 an upper bound of this function Explain why or why not C ) Is 1 a lower bound of this function Explain why or why not 8 ) Find all the zeros of f ( x ) 2 x 3 3 x 2 1 0 x 1 5 given that 3 2 is a zero 7 pt 9 ) Solve x 4 2 x 2 1 6 x 1 5 0 1 1 pt 1 0 ) Write f ( x ) as the product of linear factors if the zeros of f PLEASE ANSWER ALL QUESTIONS AND SHOW ALL WORK Show all images Show all images Show all images done loading

Question

Consider the function f ( x )   x 4   3 x 3   2 0 x 2   2 4 x   8   A ) Find the zeros of the function f ( x ) given above    5 pt   B ) Write the function f ( x ) given above as a product of linear factors ( in a completely factored form )     2 pt   ( HINT  You need to use your answers from part A   ) f ( x )   q , Find a 4 t h degree polynomial that satisfies the following conditions    3 pt   i and 3 i are zeros and f (   1 )     8 0   f ( x )   Follow the directions given in each problem  Show ALL work for FULL credit  Correct answers with no work shown will not receive full credit  Incorrect answers with work may receive partial credit  Place your final answer in the space provided  Point value for each is given in parentheses  A   ) Fill in the blanks  If the functions f and g are inverses of each other, then f   g ( x )     and g   f ( x )       2 pt   B   ) Are the functions f and g inverses of each other  Show work to support your answer    4 pt   f ( x )   3 x 7 , g ( x )   7 x   3 B 2   ) Consider the function f ( x )   5 x 3   6   A   ) Explain how you would verify the function f is one   to   one  ( You do NOT have to do it , just EXPLAIN what you would do   ) B   ) Find the inverse function of f   4 p t The graph of a function f is given below  A ) Is the function f one   to   one    1 pt   A   B ) State the domain and the range of the function f   1   5 p t Domain Range C ) Neatly sketch the graph of the inverse function, f   1 , on the same grid above that contains the graph of f     2 pt   D ) State the domain and the range of the function f   1     1   5 pt   Domain Range  E ) Describe the relation between the graph of f and the graph of f   1     2 pt   PLEASE SHOW ALL WORK Follow the directions given in each problem  Show ALL work for FULL credit  Correct answers with no work shown will not receive full credit  Incorrect answers with work may receive partial credit  Place your final answer in the space provided  Point value for each question is given in brackets  1   ) Complete the following   3 pt     The Remainder Theorem states that if r is the remainder after dividing the polynomial function f ( x ) by ( x   c ) , ther 2   ) Complete the following   3 pt     The Factor Theorem states that if c is a zero of a polynomial function, then is a of the same polynomial function  3   ) Complete the following 3 p t   A zero of a polynomial function is any number that makes q , 4   ) List two of the three characteristics of the graphs of a polynomial function that we have discussed in class    4 pt   5   ) Given that   1 is a zero of the polynomial f ( x )   x 3   4 x 2 x 6 , complete each of the following   4 pt     A   ) is a factor of the polynomial f ( x )   B   ) (   1 , 0 ) is an of the graph of f ( x )   6   ) Use synthetic division and the Remainder Theorem to find f (   2 ) , given f ( x )   3 x 4   5 x 3 x   6     6 pt   6   7   ) Consider the function f ( x )   2 x 3   3 x 2 9 x 2 0     9 pt   A   ) List all the possible rational zeros for this function  A B   ) Is 5 an upper bound of this function  Explain why or why not  C   ) Is   1 a lower bound of this function  Explain why or why not  8   ) Find all the zeros of f ( x )   2 x 3   3 x 2   1 0 x 1 5 given that 3 2 is a zero    7 pt   9   ) Solve x 4   2 x 2   1 6 x   1 5   0     1 1 pt   1 0   ) Write f ( x ) as the product of linear factors if the zeros of f PLEASE ANSWER ALL QUESTIONS AND SHOW ALL WORK Show all images Show all images Show all images done loading

HelloExperts · Accepted Answer

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Consider the function f ( x ) = x 4 - 3 x 3 - 2 0 x 2 - 2 4 x - 8

Step by Step Solution

1 Understanding Responsive Design Principles

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