1. 1.4 Exercise Set, #46 Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second equation for a line passing through the given point that is perpendicular to the given line. (-4, -5), 2x + y = -4 (-4,-5);2x+y=-4 2x+y=-4 =-2x+2x+y=-2x-4 =y=-2x-4 y=-2x+b y=-1/2x+b =-5=-2(-4)+b =-5=-1/2(-4)+b =-5=8+b =-5=2+b =-8-5=8-8+b =-2-5=b =-13=b =-7=b SOLUTION ONE: y=-2x-13 SOLUTION TWO: y=-1/2x-7 To start the problem you must first get the problem to y=mx+b. To do this subtract 2x from each side which will give you the (m) answer -2 for the rest of the problem. For the first parallel knowing the slope of -2 can now find the y intercept. Y=-2x+b. Plug and place the original coordinates (-4,-5). After you have simplified the answer you will get -13=b. For the parallel answer flip the original slope of -2 to get -1/2. Now you have the problem y=-1/2x+b. Once again plug and place the original coordinates (-4,-5), to get the last y intercept of -7. 2. 1.5 Exercise Set, #54 An airplane that can travel 375 mph in still air is flying with a 25-mph tailwind. How long will it take the plane to travel 700 miles with the wind? Distance=Rate x Time ; d=rt 3. 1.6 Exercise Set, #46 Jalyn plans to invest $12,000, part at 4% simple interest and the rest at 6% simple interest. What is the most that she can invest at 4% and still be guaranteed at least $650 in interest per year? 4. 2.1 Exercise Set, #38 For each piecewise function, find the specified function values. f(4), f(2), f(4), and f(6) 5. 2.2 Exercise Set, #62 For each function, construct and simplify the difference quotient f(x) = 2 x2 6. 2.3 Exercise Set, #32 Find ( f g )( x )( g f ) ( x )the domain of each f(x) = x5 2, Given that f(x) = x5 2 and g(x) = the following. a) (f g)(x) and (g f)(x) b) (f g)(7) and (g f)(7) c) (g g)(1) d) (f f)(x) , find each of