2. The graph of f(x) is shown to the right and has the following characteristics. 100 f(x) = x55x4 + 4x³ - 20x² all zeros have multiplicity less than or equal to 2 all real zeros are visible in this picture of f(x) a. Find all real and complex zeros of f(x) -300- b. Find the linear factorization for f(x). c. How could you change the formula, f(x), so that f(x) →-∞o as x→ ∞ ? -5 -100- -200 5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
Question
2. The graph of f(x) is shown to the right and has the following characteristics.
100
●
f(x) = x5 - 5x4 + 4x³ - 20x²
●
all zeros have multiplicity less than or equal to 2
all real zeros are visible in this picture of f(x)
a. Find all real and complex zeros of f(x)
-300
b. Find the linear factorization for f(x).
c. How could you change the formula, f(x), so that f(x) → ∞ as x→∞ ?
-5
-100-
-200
Transcribed Image Text:2. The graph of f(x) is shown to the right and has the following characteristics. 100 ● f(x) = x5 - 5x4 + 4x³ - 20x² ● all zeros have multiplicity less than or equal to 2 all real zeros are visible in this picture of f(x) a. Find all real and complex zeros of f(x) -300 b. Find the linear factorization for f(x). c. How could you change the formula, f(x), so that f(x) → ∞ as x→∞ ? -5 -100- -200
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