Chapter 1: Q15E (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.
15.
The curve is not the graph of the function of \(x\).
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If \(f\left( x \right) = x + \sqrt {{\bf{2}} - x} \) and \(g\left( u \right) = u + \sqrt {{\bf{2}} - u} \), is it true that \(f = g\)?
65-70 Find a formula for the described function and state its domain.
66. A rectangle has area 16\({{\mathop{\rm m}\nolimits} ^2}\). Express the perimeter of the rectangle as a function of the length of one of its sides.
In this section we discussed examples of ordinary, everyday functions: population is a function of time, postage cost is a function of package weight, water temperature is a function of time. Give three other examples of functions from everyday life that are described verbally. What can you say about the domain and range of each of your functions? If possible, sketch a rough graph of each function.
77-78 Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your reasoning.
78.
7-14 Determine whether the equation or table defines y as a function of x.
\({\bf{2}}xy + {\bf{5}}{y^{\bf{2}}} = {\bf{4}}\)
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