Student's Solutions Manual to accompany Calculus and its Applications [antikvár]

Chapter 1 Functions, Graphs, and Models Exercise Set 1.1 Graph y = x — 1. We choose somé x-values and calculate the corresponding y-values to find somé ordered pairs that are solutions of the equation. Then we plot the points and draw the graph. X y -4 -5 (-4,-5) 0 -í (o,-i) 3 2 (3,2) Graph y = —3x. We choose somé x-values and calculate the corresponding y-values to find somé ordered pairs that are solutions of the equation. Then we plot the points and draw the graph. X y (x,y) -1 3 (-1,3) 0 0 (0,0) 2 -6 (2,-6) 5. Graph y — -x ó 4. We choose somé x-values and calculate the corresponding y-values to find somé ordered pairs that are solutions of the equation. We use multiples of 3 for x to avoid fractional values for y. Then we plot the points and draw the graph. Now we choose somé x-values and calculate the corresponding y-values to find somé ordered pairs that are solutions of the equation. Then we plot the points and draw the graph. X y -4 0 (-4,0) -2 -2 (-2,-2) 1 -5 (1.-5) 9. Graph 8y - 2x = 4. We will solve for y first. 8y — 2x = 4 8y = 2x + 4 y = ^(2x + 4) 1 1 Now we choose somé x-values and calculate the corresponding y-values to find somé ordered pairs that are solutions of the equation. Then we plot the points and draw the graph. X y -2 0 (-2,0) 2 1 (2,1) 6 2 (6,2) 11. Graph y = 3 - x2 X y y\ X y (®»y) -3 -6 (-3,-6) 5 4 - -2 -í (-2,-1) 0 -4 (0,-4) 3 2 - -1 2 (-1,2) 3 -2 (3,-2) 1 1 L 1 I 1. .: I .1 1. I 1 > 0 3 (0,3) -5-4-3-2-Lj -2 . 1 2 3 4 yx 1 2 (1,2) -3 - 2 , 2 -1 (2,-1) . y 7. Graph x + y = —4. We will solve for y first. x + y = -4 y = —x — 4 13. Graph x = 2 - y2. Since x is expressed in terms of y we first choose values for y and then compute x. Then plot the points that are found and draw the graph.