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Chapter 2: Problem 6
Determine whether each relation is a function. Give the domain and range for each relation. $$ \\{(10,4),(-2,4),(-1,1),(5,6)\\} $$
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Give an example of a circle鈥檚 equation in standard form. Describe how to find the center and radius for this circle.
Find a. \((f \circ g)(x)\) b. \((g \circ f)(x)\) c. \((f \circ g)(2)\) d. \((g \circ f)(2)\) $$f(x)=\frac{2}{x}, g(x)=\frac{2}{x}$$
Determine whether each statement makes sense or does not make sense, and explain your reasoning. I鈥檝e noticed that in mathematics, one topic often leads logically to a new topic:
Give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation鈥檚 domain and range. $$x^{2}+(y-2)^{2}=4$$
Complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$x^{2}+y^{2}+8 x+4 y+16=0$$
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