Math Midterm

Card Set Information

Author:
Kimmiey
ID:
130890
Filename:
Math Midterm
Updated:
2012-01-26 20:28:08
Tags:
trig functions
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Description:
math
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  1. horizontal asymptote
    • bottom heavy y=0
    • eaual y- top divided by bottom - so x2/x2 then y=1
    • 2x2/x2 then y=2
  2. verticle asymptot
    • cannot be crossed
    • let the numerator equal 0
  3. point discontinuity
    a hole in the graph occurs when x=a gives 0/0
  4. slant asymptoe
    • top heavy
    • divide numerator by denominator
  5. odd function
    • symmetry with respect to the origin
    • test if f(-x)=-f(x) the f(x) is odd
  6. symmetry tests
    • x axis- make y negative and see if it equals out to the original
    • y axis- make x negative and see if it equals out to the original
    • origin- make both x and y negative and see if it equals out to the original
  7. points always on the graph of y=ax
    (0,1) (1,a) (-1,a)
  8. points always on the graph of y=loga(x)
    (1,0) (a,1) (1/a, -1)
  9. how to find vertex
    is the x value and insert this for x to get y
  10. completing the square
    y=2x2+4x-c
    • 2x2+4x -c
    • 2(x2+2x )-7
    • insert half of middle term
    • 2(x2+2x+1 )-7
    • take it out at the end
    • 2(x2+2x+1 )-7 -1
    • y=a(x-h)2+k
    • y=2(x+1)2-8
  11. i1
    i2
    i3
    i 4
    • i
    • -1
    • -i
    • 1
  12. loga1=
    0
  13. logaa=
    1

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