(7) Where does f have local/relative maximum? (8) What is the local/relative maximum value? (9) Where does f have local/relative minimums? & (10) What are the local/relative minimum values? &

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Can you help me with question #7-#10
Samaua Jancar
Name
Q, Characteristics of Polynomial and Rational Functions
MAT 137- O02
f(x) =x* – 9x²
Observations (Seen on Graph):
Leading Term X+
(1) The domain of f is (- ,00
Sketch of End behavior (legs only): X
interval notation
x* (x-3) (*-5)'
(2) The range of f is
interval notation
: ఆం
# of Extrema = degree - 1
=4-1
(3) x -intercepts O
&
ordered pairs
x - intercept Behavour
(3, 0)
(a) (touch & turn (a) touch & turn
(4) y-intercept
(-3, 0)
(a) touch & turn
ordered pair
(0,0
(5) f is increasing
or
or
interval notation
(b) cross)
Factors created by this behavior:
3/2
312
(b) cross
(b) cross)
(6) f is decreasing
&0, 7
interval notation
x2(x+L)
(7) Where does f have local/relative maximum?
y – intercept,
f(0) = (0)4 -
2.
-9(0)²
(8) What is the local/relative maximum value?
(9) Where does f have local/relative minimums?
Symmetry
&
f(-x) =-
(10) What are the local/relative minimum values?
&
Symmetry about the y-axis or the origin or neither?
4-OKIS
This function is odd or even or neither?
Euen
Transcribed Image Text:Samaua Jancar Name Q, Characteristics of Polynomial and Rational Functions MAT 137- O02 f(x) =x* – 9x² Observations (Seen on Graph): Leading Term X+ (1) The domain of f is (- ,00 Sketch of End behavior (legs only): X interval notation x* (x-3) (*-5)' (2) The range of f is interval notation : ఆం # of Extrema = degree - 1 =4-1 (3) x -intercepts O & ordered pairs x - intercept Behavour (3, 0) (a) (touch & turn (a) touch & turn (4) y-intercept (-3, 0) (a) touch & turn ordered pair (0,0 (5) f is increasing or or interval notation (b) cross) Factors created by this behavior: 3/2 312 (b) cross (b) cross) (6) f is decreasing &0, 7 interval notation x2(x+L) (7) Where does f have local/relative maximum? y – intercept, f(0) = (0)4 - 2. -9(0)² (8) What is the local/relative maximum value? (9) Where does f have local/relative minimums? Symmetry & f(-x) =- (10) What are the local/relative minimum values? & Symmetry about the y-axis or the origin or neither? 4-OKIS This function is odd or even or neither? Euen
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