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If f(x) = (x + 3)^3, what is the range of the function f(x)?

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If f(x) = (x + 3)^3, what is the range of the function f(x)? [#permalink]

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New post Updated on: 03 Mar 2015, 09:37
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If \(f(x) =(x + \sqrt{3})^4\), what is the range of the function f(x)?

(A)\(\sqrt{3} < f(x) < 4\)

(B) f(x) >= 0

(C) f(x) < 0

(D) \(f(x) \neq{0}\)

Can someone please provide an explaination to this one?
Spoiler: OA

Originally posted by erikvm on 03 Mar 2015, 09:34.
Last edited by Bunuel on 03 Mar 2015, 09:37, edited 1 time in total.
Renamed the topic and edited the question.
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Re: If f(x) = (x + 3)^3, what is the range of the function f(x)? [#permalink]

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New post 03 Mar 2015, 09:45
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erikvm wrote:
If \(f(x) =(x + \sqrt{3})^4\), what is the range of the function f(x)?

(A)\(\sqrt{3} < f(x) < 4\)

(B) f(x) >= 0

(C) f(x) < 0

(D) \(f(x) \neq{0}\)

Can someone please provide an explaination to this one?


f(x) equals to the even (4th) power of some number, thus it cannot be less than 0.
If \(x = - \sqrt{3}\), then f(x) = 0.

So, f(x) >= 0.

Answer: B.
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Re: If f(x) = (x + 3)^3, what is the range of the function f(x)? [#permalink]

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New post 03 Mar 2015, 09:47
Bunuel wrote:
erikvm wrote:
If \(f(x) =(x + \sqrt{3})^4\), what is the range of the function f(x)?

(A)\(\sqrt{3} < f(x) < 4\)

(B) f(x) >= 0

(C) f(x) < 0

(D) \(f(x) \neq{0}\)

Can someone please provide an explaination to this one?


f(x) equals to the even (4th) power of some number, thus it cannot be less than 0.
If \(x = - \sqrt{3}\), then f(x) = 0.

So, f(x) >= 0.

Answer: B.


Check other function questions in our Special Questions Directory:

Operations/functions defining algebraic/arithmetic expressions
Symbols Representing Arithmetic Operation
Rounding Functions
Various Functions
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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If f(x) = (x + 3)^3, what is the range of the function f(x)? [#permalink]

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New post 03 Mar 2015, 10:01
1
erikvm wrote:
If \(f(x) =(x + \sqrt{3})^4\), what is the range of the function f(x)?

(A)\(\sqrt{3} < f(x) < 4\)

(B) f(x) >= 0

(C) f(x) < 0

(D) \(f(x) \neq{0}\)

Can someone please provide an explaination to this one?


MIN (F(X)) is when X= - \(\sqrt{3}\) So MIN(F(X)) = 0
MAX(F(X)) --> no boundary
(B) f(x) >= 0 is the answer
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Re: If f(x) = (x + 3)^3, what is the range of the function f(x)? [#permalink]

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New post 05 Oct 2017, 11:34
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Re: If f(x) = (x + 3)^3, what is the range of the function f(x)?   [#permalink] 05 Oct 2017, 11:34
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