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Chapter 9: Problem 4
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(5,6),(5,7),(6,6),(6,7)\\}$$
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In the 1939 movie The Wizard of \(O z,\) upon being presented with a Th.D. (Doctor of Thinkology), the Scarecrow proudly exclaims, "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side." Did the Scarecrow get the Pythagorean Theorem right? In particular, describe four errors in the Scarecrow's statement. (THE IMAGES CANNOT COPY)
Determine whether each statement is true or false If the statement is false, make the necessary change(s) to produce a true statement. The equation \((x+5)^{2}=8\) is equivalent to \(x+5=2 \sqrt{2}\).
Determine whether each statement is true or false If the statement is false, make the necessary change(s) to produce a true statement. The equation \(x^{2}=-1\) has no solutions that are real numbers.
Here are two sets of ordered pairs: $$\begin{array}{l} \text { set } 1:\\{(1,5),(2,5)\\} \\ \text { set } 2:\\{(5,1),(5,2)\\} \end{array}$$ In which set is each \(x\) -coordinate paired with one and only one \(y\) -coordinate?
Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. Because I want to solve \(25 x^{2}-49=0\) fairly quickly, I'll use the quadratic formula.
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