For each of the functions in the FUNCTION table, determine if they are Big-0 or Big-Omega of the functions listed in the Options table. Also, find Big-Theta of each function (your answer may not be one of the functions in the OPTIONS table). Follow the example shown below. OPTIONS TABLE: √x x³ FUNCTION TABLE: Function Example: f(x)=3x+x³ ƒ(x)= 3x² +log.x¹0 g(x)=2*+xlogx h(x) = log(x³ + 3x² +1) k(x) = 3x²log 2* 3x³ + 2x x² +10 h(x) = log(x!+x*) X 2* Big-0 2³, x³ x² xlogx Big-Omega √x, x, x², xlogx x³, x² logx, log x log.x x² log x Big Theta

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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For each of the functions in the FUNCTION table, determine if they are Big-O or Big-Omega of the
functions listed in the Options table. Also, find Big-Theta of each function (your answer may not be
one of the functions in the OPTIONS table). Follow the example shown below.
OPTIONS TABLE:
√x
x³
FUNCTION TABLE:
Function
Example: f(x)=3x+x³
f(x)= 3x² +log.x¹0
10
g(x)=2*+xlogx
h(x)= log(x³ +3x² +1)
k(x) = 3x² log2*
f(x) =
3x²+2x
x² +10
h(x) = log(x!+x*)
X
2x
Big-0
2*, x³
x²
x log x
Big-Omega
√x, x, x², xlogx
x³, x² logx, log x
log x
x² log x
Big Theta
3
x³
Transcribed Image Text:For each of the functions in the FUNCTION table, determine if they are Big-O or Big-Omega of the functions listed in the Options table. Also, find Big-Theta of each function (your answer may not be one of the functions in the OPTIONS table). Follow the example shown below. OPTIONS TABLE: √x x³ FUNCTION TABLE: Function Example: f(x)=3x+x³ f(x)= 3x² +log.x¹0 10 g(x)=2*+xlogx h(x)= log(x³ +3x² +1) k(x) = 3x² log2* f(x) = 3x²+2x x² +10 h(x) = log(x!+x*) X 2x Big-0 2*, x³ x² x log x Big-Omega √x, x, x², xlogx x³, x² logx, log x log x x² log x Big Theta 3 x³
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Follow-up Question
For each of the functions in the FUNCTION table, determine if they are Big-O or Big-Omega of the
functions listed in the Options table. Also, find Big-Theta of each function (your answer may not be
one of the functions in the OPTIONS table). Follow the example shown below.
OPTIONS TABLE:
√x
x³
FUNCTION TABLE:
Function
Example: f(x)=3x+x³
f(x)= 3x² +log.x¹0
10
g(x)=2*+xlogx
h(x)= log(x³ +3x² +1)
k(x) = 3x² log2*
f(x) =
3x²+2x
x² +10
h(x) = log(x!+x*)
X
2x
Big-0
2*, x³
x²
x log x
Big-Omega
√x, x, x², xlogx
x³, x² logx, log x
log x
x² log x
Big Theta
3
x³
Transcribed Image Text:For each of the functions in the FUNCTION table, determine if they are Big-O or Big-Omega of the functions listed in the Options table. Also, find Big-Theta of each function (your answer may not be one of the functions in the OPTIONS table). Follow the example shown below. OPTIONS TABLE: √x x³ FUNCTION TABLE: Function Example: f(x)=3x+x³ f(x)= 3x² +log.x¹0 10 g(x)=2*+xlogx h(x)= log(x³ +3x² +1) k(x) = 3x² log2* f(x) = 3x²+2x x² +10 h(x) = log(x!+x*) X 2x Big-0 2*, x³ x² x log x Big-Omega √x, x, x², xlogx x³, x² logx, log x log x x² log x Big Theta 3 x³
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