In 1-2, solve for x and graph answers on numberline:

         1.     |3 x-1| $ 5                                    2.  -4 #  5 - 3 x < 20

         3.     Find y so that the distance from  (3, y)  to  (-1,2)   is  .

         4.     Find the equation of a circle which has endpoints of a diameter at (3,7) and (5,-1).

         5.     Find all points of intersection of x² - 2 x - y = 6 and x - y = -4.

         6.     Sketch the graph of y = - x⁴ + 3 x³ + 20.  (Describe window!)

         7.     Find an equation in standard form of the line that passes through the points (3,-2) and (5,7).

         8.     Find the domain:  

         9.     If  f(x) = 8 x² + 3 x - 1,  find   .

       10.     If cot x = -8/15 in QII, give the exact values of the other five trigonometric functions.

       11.     Find all solutions,  0 # θ < 2π  such that   2 cos² θ - cos θ = 1.

       12.     If  π  <  θ  <  3π/2 ,   and    sin θ = -2/3,   find sin 2θ.

       13.     Given  , find γ such that |f(x)-L|<0.01 whenever   0<| x -a|<γ.

       14.     Find 

       15.     Find 

       16.     Let f(x) = 5/( x-1) and g(x)=x⁴.

                 a)      Find f[g(x)] .

                 b)      Find all values of x for which f[g(x)] is discontinuous.

       17.     Determine the value of c so that f(x) is continuous for all x for

       18.       Let        Find each limit (if it exists):

                    a)                   b)             c)

        19a)   Identify all asymptotes for  .

            b)   Identify any other discontinuities.

              c)   Use this function to explain the difference between removable and nonremovable discontinuities.

        20.      Find  .     (Explain!)  

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