Question
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Please solve this problem and show the steps

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Step 1

Given:

Step 2

a) Left-hand and Right-hand behavior of f(x) –

Leading coefficient of the polynomial tells about the rising and falling nature of the function. If leading coefficient is positive, then function raise in positive infinity and if the leading coefficient is negative, then the function fall in negative infinity.

The maximum degree of the polynomial tells about the symmetricity of the function. If the maximum degree is even, then the right hand and left hand of the function is same and if the maximum degree is odd, then the right hand and left hand of the function is opposite.

Here, leading coefficient is positive, and the maximum degree is odd. So, the function falls to the left and raise to the right.

Step 3

b) Ration Zero Test –

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