Chapter 8.1, Problem 5QR

Which of the following are graphs of functions? If the graph is that of a function, is itone-to-one?

For each exercise, functions of two angles are given. Which of the functions of the two angles is greater? Do not use a calculator. sec 5; sec 8

Assume that the number of hours of daylight in New Orleans in 1994 is given by the function  D(x) =  7 3  sin   2? 365 x    +  35 3 ,  where x represents the number of days after March 21. (a) Find the number of hours of daylight on January 1, May 9 and October 12. (Round your answers to two decimal places.) January 1  hr May 9  hr October 12      hr (b) On what days of the year will there be approximately 10 hours of daylight? (Enter your answers in chronological order after March 21, 1994.)

Suppose that Af is the function given by the graph below and that da and a + ha + h are the input values as labeled on the bex – axis. Use the graph in Figure 1.3.2 to answer the following questions. Locate and label the points (a, f(a))(a, f(a)) and Ka + h, f(a+h)X(a +h, f(a + h)) on the graph. D. Construct a right triangle whose hypotenuse is the line segment from (a, f(a))(a, f (a)) to Ka + h, f(a + h)Xa + h, f(a + h)). what are the lengths of the respective legs of this triangle? C What is the slope of the line that connects the points (a, ƒ (a))(a, ƒ (a)) an Ka + h, f(a+ h))Xa +h, f(a+ h))?