CHAPTER 1 FUNCTIONS1.1 FUNCTIONS AND THEIR GRAPHS1.domain(); range[1)2.domain[0); range(1]œ_ß _œß _œß _œ_ß3.domain2); y in range and y5x10y can be any positive real numberrange).œ Ò ß _œ! ÊÊœ Ò!ß _È4.domain(03,); y in range and yx3xy can be any positive real numberrange).œ_ßÓ Ò_œ! ÊÊœ Ò!ß _È25.domain(33,); y in range and y, now if t33t, or if t3œ_ßÑ Ð_œÊ ! Ê !443t3t3ty can be any nonzero real numberrange0).Ê ! Ê ! ÊÊœ Ð_ßÑ Ð!ß _43t6.domain(4, 44,); y in range and y, now if tt16, or ifœ_ß %Ñ ÐÑ Ð_œ % Ê ! Ê !22t16t16222t416t16, or if tt16y can be any% Ê Ÿ ! Ê Ÿ ! % Ê ! Ê ! Ê2222t16t16#"'22nonzero real numberrange).Êœ Ð_ß Ó Ð!ß _187.(a)Not the graph of a function of x since it fails the vertical line test.(b)Is the graph of a function of x since any vertical line intersects the graph at most once.8.(a)Not the graph of a function of x since it fails the vertical line test.(b)Not the graph of a function of x since it fails the vertical line test.9.basex; (height)xheightx; area is a(x)(base)(height)(x)xx ;œœÊœœœœ#########""ˆ ‰Š‹x3334ÈÈÈperimeter is p(x)xxx3x.œœ10. sside lengthssds; and area is asadœÊœÊœœÊœ#####"#d2È11. Let Ddiagonal length of a face of the cube andthe length of an edge. ThenDdandœj œjœ###D23d. The surface area is 62dand the volume is.######$$Î#œjÊjœÊ j œjœœjœœd6ddd33333ÈÈ##$Š‹12. The coordinates of P arexxso the slope of the line joining P to the origin is m(x0). Thus,ˆ‰ÈßœœÈÈxxx"x,x,.ˆ‰ˆ‰Èœ""mm#13. 2x4y5yx; Lx0y0xxxxxœÊœ œÐÑ ÐÑœ ÐÑœ"""##55525444416222222ÈÉÉxxœœœÉÉ552520x20x254416164220x20x2522È14. yx3y3x; Lx4y0y34yy1yœÊœœÐÑ ÐÑœÐÑœÐÑÈÈÈÈ222222222y2y1yyy1œœÈÈ42242Preview Mode
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