Graphing Exponential Functions Answers
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21
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Which polynomial function has a leading coefficient of 3 and roots –4, i, and 2, all with multiplicity 1?
A
f(x) = 3(x + 4)(x – i)(x – 2)B
f(x) = (x – 3)(x + 4)(x – i)(x – 2)C
f(x) = (x – 3)(x + 4)(x – i)(x + i)(x – 2)D
f(x) = 3(x + 4)(x – i)(x + i)(x – 2)22
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According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
A
f (x) = (3 x squared minus 4 x minus 5) (2 x Superscript 6 Baseline minus 5)
B
f (x) = (3 x Superscript 4 Baseline + 2 x) Superscript 4
C
f (x) = (4 x squared minus 7) cubed
D
f (x) = (6 x Superscript 8 Baseline minus 4 x Superscript 5 minus 1) (3 x squared minus 4)
23
Patricia is studying a polynomial function f(x). Three given roots of f(x) are , 3 + 4i, and 10. Patricia concludes that f(x) must be a polynomial with degree 4. Which statement is true?
A
Patricia is correct because must be a root.
B
Patricia is correct because 3 – 4i must be a root.C
Patricia is not correct because both 3 – 4i and must be roots.
D
Patricia is not correct because both 3 – 4i and must be roots.
24
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?(9x + 7)(4x + 1)(3x + 4) = 0
A
1 rootB
3 rootsC
4 rootsD
9 roots25
Which function has no horizontal asymptote?
A
f (x) = StartFraction 2 x minus 1 Over 3 x squared EndFraction
B
f (x) = StartFraction x minus 1 Over 3 x EndFraction
C
f (x) = StartFraction 2 x squared Over 3 x minus 1 EndFraction
D
f (x) = StartFraction 3 x squared Over x squared minus 1 EndFraction
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