MA 112 Sample Test #2
(revised)
No calculators Show work wherever possible; no work, no credit.
1) Determine if the functions are odd, even or neither.
a) f(x) = 3x6 – x5 b) f(x) = x3 / (x2 - 1) c) g(x) = 5 / x8
2) Put y = x2 - 3x +4 in the form y = a(x+h)2 + k.
3) Put y = 2x2 + 2x + 3 in factored form: y = a(x-R1) (x-R2)
4) Find the y intercept: y = -4(x+3)2 +7
5) Find the x intercept(s) if they exist: y = 5x2 + x – 6
6) Find the x intercept(s) if they exist: : y = -4(x+3)2 -7
7) Given that y = -x2 + 2x + 5 = -(x-1)2 + 6 = - [x – (1 +
6
and
a)
b)
c)
d)
e)
f)
6 ] [x – (1 -
6 )]
5
, find
2
the y intercept
the x intercept(s) if they exist
the vertex
the axis of symmetry
the maximum or minimum value of the function
sketch the graph of the function and include all of the above.
8) Solve the incomplete quadratics. Do NOT complete the square or use the quadratic
formula.
a) x2 + 4 = 0
b) 3x2 – 2x = 0
c) 5x2 – 7 = 0
d) 23x2 + 14x = 0
9) Graph: a) y = 2x / 4
b) y = 7 / x2
10) Solve by using the quadratic formula only.
c) y = 5 x
3x2 – 4x + 1 = 0
11) Be able to add fractions: Notebook page 14: problems #28 and #49.
12) Complex numbers: Textbook, page 178, problem # 27