Chapter 1: Q5E (page 7)
3-16 A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one.
The function is not one-to-one.
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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.
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.
Determine whether f is even, odd, or neither. You may wish to use a graphing calculator or computer to check your answer visually.
82. \(f\left( x \right) = \frac{{{x^{\bf{2}}}}}{{{x^{\bf{4}}} + {\bf{1}}}}\)
Find the domain of the function.
6. \(g\left( x \right) = \frac{{\bf{1}}}{{1 - tanx}}\)
77-78 Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your reasoning.
77.
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