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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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Step-by-step explanation:

Let the speed of rowing be r and speed of current be c.

If he rows with the current, Mishka rows 48 km in 3 hours.

        Relative speed = r + c

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If he rows against the current, it takes 4 hours to travel the same distance.

        Relative speed = r - c

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eqn 1 + eqn 2

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Answer: Z'(-7;8)

suppose the coordinates of Z' is Z'(x,y)

we have:

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=> Z'(-7;8)

Step-by-step explanation:

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Step 4 is where she made the error.

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