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# P07 - of the graph of 1 x after ﬁrst rewriting the...

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Project 7 MAC 2233 1. Write the domain of f ( x ) = x - 1 - 6 x x - 4 x . Rewrite f ( x ) as a simplified rational function in lowest terms. Include the restrictions on the domain. Then, using a number line, find the intervals on which f ( x ) is positive and those intervals on which it is negative. This is a failsafe way to help to distinguish between limits that are or -∞ . Evaluate the following limits, and graph f ( x ) on the axes below. lim x →- 2 - f ( x ) = lim x →- 2 + f ( x ) = lim x 0 - f ( x ) = lim x 0 + f ( x ) = lim x 2 - f ( x ) = lim x 2 + f ( x ) = Graphing Hint: Be mindful of your domain (watch for holes), and use shifts, reflection, etc.
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Unformatted text preview: of the graph of 1 x , after ﬁrst rewriting the function according to the formula: x-a x-b = 1 + ( b-a ) x-b . 2. If possible, ﬁnd the value of the constant c so that lim x → 2 h ( x ) exists for the piecewise-deﬁned function below. h ( x ) = x 2-4 2 x-x 2 x < 2 x + cx 2 x > 2 What is lim x → h ( x ) ?...
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