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Chapter 2: Problem 7
Add or subtract as indicated and write the result in standard form. $$8 i-(14-9 i)$$
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Use inspection to describe each inequality's solution set. Do not solve any of the inequalities. $$\frac{1}{(x-2)^{2}}>0$$
Is every rational function a polynomial function? Why or why not? Does a true statement result if the two adjectives rational and polynomial are reversed? Explain.
Exercises \(61-63\) will help you prepare for the material covered in the first section of the next chapter. Use point plotting to graph \(f(x)=2^{x}\). Begin by setting up a partial table of coordinates, selecting integers from -3 to \(3,\) inclusive, for \(x .\) Because \(y=0\) is a horizontal asymptote, your graph should approach, but never touch, the negative portion of the \(x\) -axis.
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Write a rational inequality whose solution set is \((-\infty,-4) \cup[3, \infty)\).
Determine whether each statement makes sense or does not make sense, and explain your reasoning. Using the language of variation, I can now state the formula for the area of a trapezoid, \(A=\frac{1}{2} h\left(b_{1}+b_{2}\right),\) as, "A trapezoid's area varies jointly with its height and the sum of its bases."
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