Chapter 1: Q18E (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.
18.
The curve is not the graph of a function of \(x\).
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Sketch a rough graph of the outdoor temperature as a function of time during typical spring day.
A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in. by 20in. by cutting out equal squares of side \(x\) at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function \(x\).
Three runner compete in a 100-meter race. The graph depicts the distance run as a function of time for each runner. Describe in words what the graph tells you about this race. Who won the race? Did each runner finish the race?
An electricity company charges its customers a base rate of $10 a month, plus 6 cents per kilowatt-hour (kWh) for the first 1200 kWh and 7 cents per kWh for all usage over 1200 kWh. Express the monthly cost E as a function of the amount x of electricity used. Then graph the function E for \(0 \le x \le 2000\).
Temperature readings \(T\) (in \(^\circ F\) ) were recorded every two hours from midnight to 2:00 PM in Atlanta on a day in June. The time \(t\) was measured in hours from midnight.
\(t\) | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 |
\(T\) | 74 | 69 | 68 | 66 | 70 | 78 | 82 | 86 |
(a) Use the readings to sketch a rough graph of T as a function of \(t\).
(b) Use your graph to estimate the temperature at 9:00 AM.
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