MTH 112

1.  f(-2) = -20

2) a) Domain = all reals, Range = y>0

    b) Domain  all the reals  , Range = (-inf, 3)

3)   a) (x+3)/2      b) 13

4 )   m = 2  y = 2x+ 5

5) 11.2

6) V= (1,2)

7) F: (5,4.75)  D: y = 5.25

8) F: (5,-4)       D: x = -5

9) circle radius 4 centered at the origin

10) Ellipse major axis from (-4,0)  to(4,0) minor axis y-axis (0,-2) to (0,2)  Focus point ( 0, sqrt12)  (0,-sqrt12)

11) Oblique asymptote y = x , vertical axis x = 0

12) y = 4/5x     and   y = - 4/5 x    Focus points at (0,sqrt41) (0,-sqrt41)

13) (x+4)² + (y-6)²    = 57    ( CIRCLE; R = ( -4, 6)  RADIUS = SQRT 57)

14) Note, population should read 23,000

           23000(e^.055(10))= 39,865

15) log₄16=2

16)   5² = 25

17) log17/log3 = 2.58

18) log[x³(y-2)⁴/z ^1/3]

19) x = 1.23  let y1 = 3^2x, y2 = 15, solve by calculator is OK

20) x = 7

21) 10^2.5 = 2x+3, x = 156.6

22) x = -2, y = 5

23) x = 1, y = -1, z = 2

24) x = 19/7

25) x = 5, y = -5, z = 8

26) No solution

27) ignore the stray 3

        seq(x(3x-1),x,1,5,1) Math 1, ENTER

         1/2, 2/5, 3/8, 4/11, 5/14

28) 743/168    use MATH 1 ENTER to turn decimal to fraction on  calc

       sum(seq(5/(x+3),x,1,5,1)

29) y = 1.93(11.37)^x          STAT> CALC>EXPREG

      y(9) = $32.03

30) Use synthetic division to divide

5x⁴ - 3x² + 4x -7 div by x+2  

 Ans = 5x3 -10x² 17x -30  r 67

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