Chapter 1: Q17E (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.
17.
The curve is the graph of a function of \(x\).
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79-80 the graph of a function defined for \(x \ge 0\) is given. Complete the graph for \(x < 0\) to make (a) an even function and (b) an odd function.
80.
A student bought a smartwatch that tracks the number of steps she walks throughout the day. The table shows the number of steps recorded t minutes after 3.00 PM on the first day she wore the watch.
t(min) | 0 | 10 | 20 | 30 | 40 |
Steps | 3438 | 4559 | 5622 | 5622 | 7398 |
(a) Find the slopes of the secant lines corresponding to given intervals of t. What do these slopes represent?
(i) \(\left( {{\bf{0}},{\bf{40}}} \right)\) (ii) \(\left( {{\bf{10}},{\bf{20}}} \right)\) (iii) \(\left( {{\bf{20}},{\bf{30}}} \right)\)
(b) Estimate the student’s walking pace, in steps per minute, at 3:20 PM by averaging the slopes of two secant lines.
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?
The graph shows the power consumption for a day in September in San Francisco. (P is measured in megawatts; t is measured in hours starting at midnight.)
(a) What was the power consumptions at 6 AM? At 6 PM?
(b) When was the power consumption the lowest? When was it the highest? Do these times seem reasonable?
Find the domain of the function.
5. \(f\left( x \right) = \frac{{cosx}}{{1 - sinx}}\)
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