Chapter 1: Q16E (page 7)
15-18 determine whether the curve is the graph of a function of \(x\). If it is, state the domain and range of the function.
16.
The curve is the graph of a function of \(x\).
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You place a frozen pie in an oven and bake it for an hour. Then you take it out and let it cool. Describe how the temperature of the pie changes as time passes. Then sketch a rough graph of the temperature of the pie as a function of time.
15-18 determine whether the curve is the graph of a function of \(x\). If it is, state the domain and range of the function.
17.
Evaluate the difference quotient for the given function. Simplify your answer.
37. \(f\left( x \right) = \frac{1}{x}\), \(\frac{{f\left( x \right) - f\left( a \right)}}{{x - a}}\)
Evaluate \(f\left( { - {\bf{3}}} \right)\), \(f\left( {\bf{0}} \right)\), and \(f\left( {\bf{2}} \right)\) for the piecewise defined function. Then sketch the graph of the function.
\(f\left( x \right) = \left\{ {\begin{aligned}{x + {\bf{1}}}&{{\bf{if}}\;\;x \le - {\bf{1}}}\\{{x^2}}&{{\bf{if}}\;\;x > - {\bf{1}}}\end{aligned}} \right.\)
39-46 find the domain of the function.
41. \(f\left( t \right) = \sqrt(3){{2t - 1}}\)
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