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Karolina [17]
3 years ago
12

Which of the following is an odd function

Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Given the functions

(a) f(x) = x³ + 5x² + x

(b) f(x) = x² + x

(c) f(x) = -x

Function (a)

f(-x) = (-x)³ + 5(-x)² + (-x)  

      = -x³ + 5x² - x

      = -(x³ - 5x² + x)

The function is neither even nor odd.

Function (b)

f(-x) = (-x)² + (-x)

       = -(-x² + x)

The function is neither even nor odd.

Function (c)

f(-x) = -(-x)  

      = x

      = -f(x)

Because f(-x) = -f(x) the function is odd.

Answer: f(x) = -x is an odd function.

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7 0
3 years ago
Gillian can spend up to $300 buying both cotton shirts and wool shirts for her club. The cotton shirts cost $15 each and the woo
Vaselesa [24]

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Step-by-step explanation:

Since we have given that

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According to question,

The number of wool shirts Gillian will buy will be at least 3, but less than half the number of cotton shirts she buys.

So, by option when we use the data of Option 'A'

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Cost incurred on cotton shirt is given by

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Cost incurred on wool shirt is given by

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Total cost incurred on both the shirts is given by

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If we use option 'B' we spend only $230

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Hence , option "A" is correct.

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