SOLUTION: 4.3 Use the given function to answer the questions that follow f(x) =-x^4 +36x^2 a.Use the Leading Coefficent Test to determine the graphs end behavior. (How does the grap

Question 1013834: 4.3
Use the given function to answer the questions that follow
f(x) =-x^4 +36x^2
a.Use the Leading Coefficent Test to determine the graphs end behavior. (How does the graph rise or fall)
b.Find the x-intercepts. X=
c.At which zeros does the graph of the function cross the x-axis? X=
d.At which zeros does the graph of the function touch the x-axis and turn around? X=
e. Find the y-intercept by computing f(0). f(0)=
f. What is the symmetry of the graph?
g. Determine the graph of the function:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Use the given function to answer the questions that follow

a.Use the Leading Coefficent Test to determine the graphs end behavior. (How does the graph rise or fall)
the Leading Coefficient is (but all we need is the "minus" part of the leading coefficient),when is and is graph to the and

b.Find the x-intercepts.

if =>(multiplicity )
if =>=>=> or

c.At which zeros does the graph of the function cross the x-axis?
at or

d.At which zeros does the graph of the function touch the x-axis and turn around?
at

e. Find the y-intercept by computing f(0).

the y-intercept is at origin

f. What is the symmetry of the graph?
y-axis

g. Determine the graph of the function:

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