CHAPTER 1 Test yourself(p.6)determine wether each relation represents a function. Subject call no. 5.)0 ___ 5 Trinogometry 512 1____6 Algebra 512 2____7 Chemistry 513 3 ____8 Geometry 51 Physics 530 Test yourself(p.9)determine which of the sets of ordered pairs trepresent s function. 7.){(-4,5),(-2,6),(0,7),(1,8)} 8.){(-3,4),(-2,5),(-1,5),(0,6)} Test yourself(p.10) ans.the ff. 2.)let f(x)=4-3x 6.)let f(x)=2x2-12x+11 find all values of x for which f(x)=1 Find f(2);f(3) f(x)=4-3 f(x)=2x2-12+11 F(x)=4-3x =4-3(3) f(1)=2(1)2-12+11 F(2)=4-3(2) =4-9 =2(1)-12+11 =4-6 =-5 =2-1 =-2 =1 Test yourself(p.21) for the given functions f and g, find the ff. and state the domain of each. a.(f+g)(x) 1.)f(x)=2x+3;g(x)=3x-1 (fog)=(2x+3)(3x-1) =2x+3+3x-1 =6x2-2x+9x-3 =2x+3x+3-1 =6x2+7x-3 =5x+2 Test yourself(p.26)Ans. The following. Find the ff. for each given functions. 11.)f(x)=x2/(x+4)=(2)2/(2+4)=4/6 =2/3 12.)f(x)=3x/(x2-2)=6/(4-2)=6/2=3 Chapter 2:linear function Test yourself(p.32)rewrite the ff. in the form f(x)=mx+b. 1.)3x+y 2.)3x+2y=6 Y=-3x+12 2/2y=6/2 (-3x)/2 Y=3(-3)/2x Y=(-3)/2x+3 Test yourself(p.41)draw nthe graph of the linear function with the given condition Two points on the graph 1.)(4,5)(-1,-3) 2.)(3,-3)(-4,2) Test yourself(42)write the linear function whose slope and y intercept are given. 1.slope:3;y-intercept 1 2.)slope= -2; y-intercept 3/4 F(x)=mx+b f(x)=mx+b F(x)=3x+1 f(x)=-2x+3/4 Test yourself(p.43)write the linear function whose x intercept a and y- intercept are given. 2.)a=-3 ;b=6 6.)a=2;b=4 M=(y1-y2)/(x1-x2)=(0-6)/(-3-0)=(-6)/(-2)=2 m=(y1-y2)/(x1-x2)=(0-4)/(2-0)=-2 F(x)=mx+b f(x)=mx+b =2x+6 =-2x+4 Test your self(p.44)write the linear function whose graph has the given m and passes through the given points 1.)m =3/4 ;(3,2) f(x)=mx+b 3.)m=4;(6,3) f(x)=mx+b F(x)=mx+b f(x) =3/4x+7/9 f(x)=mx+b f(x)=4x-21 Y=mx+b solveb for b. Solveb for b. y=mx+b Y=mx+b 3=4(6)+b 2=3/4(3)+b 3=24+b 2=9/4+b b=-24+3 b=-21 b=9/4-2 b=7/4 test your self(p.46)write the linear function whose graph passes through the given points. 1.)(3,2)(2,5) 2.)(4.6)(3,4) Test your self (p.48) solve for each problem Freddie’s car uses 15 liters of gasoline to travel 200 km. at that ratye, how much gasoline will his car use to travel 300km? 15 lites:200km:,300km:x 15 liters(x)= 200km(300km) 15 liters(x)=60000km 15liter=15 liters =4000km l Mr. reyman used 3.2m of cpooer wire which weighs 0.45kg. how much will 6m of copper wire weigh? 0.45:3.2m,6m:x cfr0.45(x)=(3.2m)(6m) 0.45kg(x)=19.2m 0.45kg o.45 x=42.6666667 Chapter 3:quadratic functions Test yourself(p.54)which of the ff. are quadratic functuins Test yourself(56)transform each function into form f(X)= a(x-h)2+k 1.f(x)=x2-2x-1 2. F(x)=x2-6x+4 =(x2-2x)-1 =(x2-6x+9)+4-9 F(x) =(x-1)2-2 f(x) =(x-3)2-5 Test your self(58) find the coordinates of the vertex and the axis of symmetry for each of the given function . 1.f(x)=x2+4x+3 2.f(x)=-x2+x+6 A=1;b=4;c=3 h =(-b)/2a k=(4(-1)(6)-(1)2)/(4(-1)) H=(-4)/(2(1)) k=(4(1)(3)-(4)2)/(4(1)) =(-1)/(2(-1)) =(-24-1)/4 =(-4)/2 =(12-16)/4 =(-1)/(-2) k =25/4 (2,25/4) =-2 =(-4)/4 =-1 =2 axis of symmetry -2 is axis of symmetry (-2,-1)vertex Test yourself(p.61)in the ff. functions, find the vertex, the y- ntercept and identify some symmetric points of the graph . then sketch the graph. 1.f(x)=x2+4+x+3 2. Construct a true table for x2+4x+3 H=(-4)/(2(a))=(-4)/(2(1))=(-4)/(-2)=2 is axis of symmetry x F(x) 1 8 0 3 -1 0 -2 -1 -3 0 -4 3 -5 8 f)x4)=(-2)2+4(-2)+3 =4+8+3 =-1 vertex(2,-1 2. f(x)=-x2+4x+5 2. Construct a true table for f(x)=-x2+4x+5 H=(-b)/2a=(-4)/(2(-1))=(-4)/(-2)=2 axis of symmetry x F(x) 5 0 4 5 3 8 2 9 1 8 0 5 -1 0 F(2)=-(2)2+4(2)=5 =-4+8+5 =4+5 =9 vertex(2,9) Test yourself (p.63)draw the graph ogf the ff. functions. 1.f(x)=3x2 x F(x) 3 27 2 12 1 3 0 0 -1 3 -2 12 -3 27 2.f(x)=-3x2 x F(x) 3 -27 2 -12 1 -3 0 0 -1 3 -2 -12 -3 27
Posted on: Tue, 08 Oct 2013 10:28:16 +0000
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