$\"\"$

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The function is $\"\"$ .

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Let $\"\"$ .

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First graph the parent function of $\"\"$ is $\"\"$ .

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Compare $\"\"$ to $\"\"$ .

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Here $\"\"$ .

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where $\"\"$ , so the graph of $\"\"$ passes through $\"\"$ , $\"\"$ , $\"\"$ .

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$\"\"$

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Next graph the original function using transformation $\"\"$ .

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Graph of the original function reflected about both the $\"\"$ -axis and $\"\"$ -axis, stretch the graph horizontally by a factor of $\"\"$ , shift the graph a distance $\"\"$ units upward.

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The graph of $\"\"$ passes through $\"\"$ , $\"\"$ and $\"\"$ .

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Graph :

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1. Draw a coordinate plane.

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2. Plot the coordinate points.

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3. Then sketch the graph, connecting the points with a smooth curve.

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$\"\"$

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At the point $\"\"$ the value of $\"\"$ of parent function and the value of $\"\"$ of original function are almost same.

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Observe the graph :

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Domain of the function is $\"open$ .

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Range of the function is $\"\"$ .

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Horizontal asymptote of the function is $\"\"$ .

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$\"\"$

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Domain of the function is $\"open$ .

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Range of the function is $\"\"$ .

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Horizontal asymptote of the function is $\"\"$ .