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Need help on this certain question

Need help on this certain question-example-1

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Answer:

As x increases , y decreases then increases

Explanation:

There are two situation

1> when x < 0

2> when x>= 0

let see

when x < 0

we see that as value of x moves from -ve value towards zero (i.e x is increasing) then value of y is decreasing( value of x has moved from positive side of y( above x-axis) towards negative side of (below x-axis)\

Thus, we can say that

for x < 0

As x increases , y decreases

________________________________________

when x>= 0

we see that as value of x moves from 0 towards +ve value(i.e x is increasing) then value of y is increasing( value of x has moved from negative side of y( below x-axis) towards positive side of (above x-axis)\

Thus, we can say that

for x >= 0

As x increases , y increases

_________________________________________

combining both observation it can be said that

As x increases , y decreases then increases which is equal to fouth option

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