8) For the polynomial function P(x)=x°-x* -2x³ | a) Determine its end behavior as x→0, P(x)→ as x→-00, P(x)→ b) Find the zeroes of P(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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c) Create a sign diagram to determine the sign of the function in
each interval. In what intervals is the value of the function
positive?
d) What is the maximum number of local extrema that this
function can have?
e) Find the vertical intercept of the graph of this function?
onometric a
foncti
for the rian
f) Find the horizontal intercept(s).
g) What is the shape of the graph very close to x=0.
Transcribed Image Text:c) Create a sign diagram to determine the sign of the function in each interval. In what intervals is the value of the function positive? d) What is the maximum number of local extrema that this function can have? e) Find the vertical intercept of the graph of this function? onometric a foncti for the rian f) Find the horizontal intercept(s). g) What is the shape of the graph very close to x=0.
8) For the polynomial function P(x)=x³-x* -2x³
|
a) Determine its end behavior
anction
(0,4).
as x→0, P(x)→
as x→-00, P(x)→
b) Find the zeroes of P(x)
Transcribed Image Text:8) For the polynomial function P(x)=x³-x* -2x³ | a) Determine its end behavior anction (0,4). as x→0, P(x)→ as x→-00, P(x)→ b) Find the zeroes of P(x)
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