or

or

taken

why

Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

Don't know (0)
Know (0)
remaining cards (0)
Save
0:01

 Flashcards Matching Hangman Crossword Type In Quiz Test StudyStack Study Table Bug Match Hungry Bug Unscramble Chopped Targets

Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size     Small Size show me how

# PreCalc Final Review

### for Thaemert's 1st Semester Final

Odd functions are symmetrical about the origin. Ex: (2,4) (3,1) (-2,-4) (-3,-1)
Even functions are symmetrical about the y-axis. Ex: (2,4) (3,1) (-2,4) (-3,1)
How to determine if a function is odd, even, or neither. PLUG IN... -X or -1 for X Odd is negated, Even is exact same
When given real world function like: D(p)=1200-200(p) and asked to find the D-1, plug in the number they give you into D(p)
f(0)= y intercept
f(x)=0= asymptote
F is less than or equal to. Remember, it is always left to right
He doesn't want you to solve for e
On domain and range problems, the y-int is included in the range. Don't graph! Ex:y=2x-9 [-9,inf)
A sin wave has a domain, range, and period of... D:(-inf,inf) R:[-1,1] P:2pi
A cos wave has a domain, range, and period of... D:(-inf,inf) R:[-1,1] P:2pi
A tan wave has a domain, range, and period of... D:(all real numbers except odd multiples of pi/2 R:(-inf,inf) P:pi
A csc wave has a domain, range, and period of... D:(all real numbers except multiples of pi) R:(-inf,-1]U[1,inf) P:2pi
A sec wave has a domain, range, and period of... D:(all real numbers except odd multiples of pi/2) R:(-inf,-1]U[1,inf) P:2pi
A cot wave has a domain, range, and period of... D:(all real numbers except multiples of pi) R:(-inf,inf) P:pi
For problems where it asks to find domain and range, use parentheses. Ex: 3x^3/2x-9 (3x^3)/(2x-9)
To convert degrees to radians manually... degree/1 X pi/180, simplify
For trig functions, always draw the triangle with cross and remember SOHCAHTOA
For problems like sin(cos-1(1/5)), draw the triangle. The 1 would be adjacent over the 5 hypotenuse
He doesn't care if your radicals are simplified on trig function problems
If you see a problem like this: 1^2+x^2, it becomes \/1-x^2
Make sure you are degrees and radians for the right problems!
law of sines sinA/a=sinB/b=sinC/c
law of cosines a^2=b^2+c^2-2bccosA
Don't forget that if you have 2 angles, you find the third through 180-a-b=c
theta=inverse trig function(corresponding sides) Ex: theta=tan-1(opposite/adjacent)
When trying to find the period, midline, amplitude, h. shift, and v. shift.... y=Acos(B(x-h))+k
Remember to note the midline as... y=m
If a h. shift does occur, remember it is always in the opposite direction and PUT IT OVER THE B VALUE Ex: (3x-pi) HS=pi/3
Period should be noted as T
When faced with a problem with two trig functions Ex: 2sincos+cos=0, find the GCF or FOIL. Once fully factored, set =0 and solve for theta, not trig function Ex: sinx=1 X=pi/2
Expand all composite functions, foil, then distribute. Ex: 2(5x-7)^2 2(5x-7)(5x-7) 2(25x^2+70x+49) 50x^2+140x+98)
sin^2+cos^2=1
A function is a relation that is a one-to-one mapping of one element of the domain to exactly one and only one element of the range
When finding domain, set denominator =0
Remember that a negative quadratic is upside down