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(a)

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The function $\"\"$ is increasing for the values of $\"\"$ between $\"\"$ to $\"\"$ , to $\"\"$ and $\"\"$ to $\"\"$ .

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The function $\"\"$ is increasing over the interval $\"\"$ , $\"\"$ and $\"\"$ .

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(b)

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The function $\"\"$ is decreasing for the value of $\"\"$ between $\"\"$ to $\"\"$ .

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The function $\"\"$ is decreasing over the interval $\"\"$ .

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(c)

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Concave upward :

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A graph is said to be concave up at a point, if the tangent line to the graph of the curve lies above the graph of the curve at that point.

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The function $\"\"$ is concave upward over the interval $\"\"$ and $\"\"$ .

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(d)

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Concave downward :

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A graph is said to be concave down at a point, if the tangent line to the graph of the curve lies below the graph of the curve at that point.

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The function $\"\"$ is concave downward over the interval $\"\"$ and $\"\"$ .

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(e)

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Point of inflection :

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Inflection points are the points at which the curve changes where the concavity changes from up to down or down to up.

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Observe the graph.

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The point of inflection occur at $\"\"$ , $\"\"$ and $\"\"$ .

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(a) The function $\"\"$ is increasing over the interval $\"\"$ , $\"\"$ and $\"\"$ .

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(b) The function $\"\"$ is decreasing over the interval $\"\"$ .

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(c) The function $\"\"$ is concave upward over the interval $\"\"$ and $\"\"$ .

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(d) The function $\"\"$ is concave downward over the interval $\"\"$ and $\"\"$ .

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(e) The point of inflection occur at $\"\"$ , $\"\"$ and $\"\"$ .