1. Determine whether each of these functions is O(x).a) f (x) = 10 b) f (x) = 3x + 7 c) f (x) = x2 + x + 1 d) f (x) = 5 log x

Question

1. Determine whether each of these functions is O(x).a) f (x) = 10 b) f (x) = 3x + 7 c) f (x) = x2 + x + 1 d) f (x) = 5 log x
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Solution 1

Para determinar si cada una de las funciones es O(x), debemos verificar si existe una constante ( c ) y un valor ( x_0 ) tal que ( f(x) \leq c \cdot x ) para todo ( x \geq x_0 ).

a) ( f(x) = 10 )

Para cualquier ( x \geq 1 ), podemos elegir ( c = 10 ) y ( x_0 = 1 ): [ 10 \leq 10 \c Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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