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Chapter 1: Problem 113
What is the graph of a function?
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Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. \(x\) -intercept \(=-\frac{1}{2}\) and \(y\) -intercept \(=4\)
To solve for a variable involving an nth root, raise both sides of the equation to the nth power: \(\left.(\sqrt[n]{y})^{n}=y .\right)\). $$f(x)=\sqrt{x}+2$$
Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimals places. $$\left(\frac{7}{3}, \frac{1}{5}\right) \text { and }\left(\frac{1}{3}, \frac{6}{5}\right)$$
Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. $$(4,7) \text { and }(8,10)$$
Find the area of the donut-shaped region bounded by the graphs of \((x-2)^{2}+(y+3)^{2}=25\) and \((x-2)^{2}+(y+3)^{2}=36\).
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