1) f(x) = 2x2+x-6a) What is the degree of the polynomial?b) WHat is the maximum number of zeroes for this polynomial? Explain how you know.c) What do the x-intercepts of the graph of this equation represent?d) Name 3 algebraic methods you can use to find the solutions to equations of this kind asides from graphinh.e) Use three algebraic methods and solve the equation of f(x) = 0. Show all work for each.f) Now use a graph to graph the equation.g) Explain how you can use the graph to verify the solutions that have been obtained in part e).h) Write the equation in vertex form. Show work.i) What kind of transformations can the features of the graph coincide with?j) Does this function have a minimum or a maximum value?k) Tell what that value is and where it is located.
1) f(x) = 2x2+x-6a) What is the degree of the polynomial?b) WHat is the maximum number of zeroes for this polynomial? Explain how you know.c) What do the x-intercepts of the graph of this equation represent?d) Name 3 algebraic methods you can use to find the solutions to equations of this kind asides from graphinh.e) Use three algebraic methods and solve the equation of f(x) = 0. Show all work for each.f) Now use a graph to graph the equation.g) Explain how you can use the graph to verify the solutions that have been obtained in part e).h) Write the equation in vertex form. Show work.i) What kind of transformations can the features of the graph coincide with?j) Does this function have a minimum or a maximum value?k) Tell what that value is and where it is located.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 79E
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Question
1) f(x) = 2x2+x-6
a) What is the degree of the polynomial?
b) WHat is the maximum number of zeroes for this polynomial? Explain how you know.
c) What do the x-intercepts of the graph of this equation represent?
d) Name 3 algebraic methods you can use to find the solutions to equations of this kind asides from graphinh.
e) Use three algebraic methods and solve the equation of f(x) = 0. Show all work for each.
f) Now use a graph to graph the equation.
g) Explain how you can use the graph to verify the solutions that have been obtained in part e).
h) Write the equation in vertex form. Show work.
i) What kind of transformations can the features of the graph coincide with?
j) Does this function have a minimum or a maximum value?
k) Tell what that value is and where it is located.
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