SAT Math level 2 Subject Test
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77 terms
Terms | Definitions |
|---|---|
 Sin2x | 2(sinx)(cosx) |
| 1.) Cos2x | Cos^2x-Sin^2x |
| 2.) Cos2x | 2cos^2x-1 |
| 3.) Cos2x | 1-2sin^2x |
| Sec^2x | 1+tan^2x |
| log(baseb)b | 1 |
| x^(-a) | 1/(x^a) |
| x^a * x^b | X^ (a+b) |
| x^a /x^b | x^ (a-b) |
| (x^a)^b | x^ab |
| x^0 | 1 |
| x^a * y^a | (xy)^a |
| log(baseb)(p*g) | log(baseb)p + log(baseb)g |
| log(baseb)(p/g) | log(baseb)p- log(baseb)g |
| is r a zero of a polynomial? | r is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x) |
| What is the remainer of P(x) divided by (x-r)? | If polynomial p(x) is divided by x-r then the remainder is p(r) |
| What are the rational zeros of p(x)? | divisors or constant term/divisors of leading coefficient |
| What is another zero of an equation with zero 3+2i | 3-2i |
| number of positive real zeros of polynomial p(x) | equal to number of sign changes between terms or less than that number by an even integer |
| domain | x values |
| range | y values |
| function | each x value only has one y |
| relation | set of ordered pairs |
| (f+g)(x) | f(x)+g(x) |
| (f-g)(x) | f(x)-g(x) |
| (fg)(x) | f(x)*g(x) |
| (f/g)(x) | f(x)/g(x) |
| (fog)(x) | f(g(x)) |
| f^-1 | inverse |
| f(x)*f(x)^-1 | x |
| inverse has to be a function? | false |
| graph of inverse | reflected across line y=x |
| even function | f(-x)=f(x) x,y -x,y symmetric across y axis |
| odd function | f(-x)=-f(x), x,y -x,-y, symmetric with respect to the origin |
| sum of even functions | even |
| sum of odd functions | odd |
| product of even and odd function | odd |
| general equation of linear functions | ax+by+c=0 |
| slope of linear with general equation | -a/b |
| y intercept with general equation | -c/b |
| general form of quadratic | ax^2+bx+c=y |
| for quad, a>0 | opens up |
| for quad, a<0 | opens down |
| x-coordinate of vertex of parabola | -b/2a |
| axis of symmetry of parabola | x=-b/2a |
| vertex of parabola | -b/2a, c-(b^2/2a) |
| even funtion ends | same direction |
| odd function ends | opp direction |
| 45-45-90 triangle | 1,1, square root of 2 |
| 30-60-90 triangle | 1, square root of 3, 2 |
| general form of trigonometric function | y=a*f(bx+c) |
| general form of trig, a is | amplitude |
| general form of trig, b is | normal per of f/b =period |
| phase shift, general form of trig | -c/b |
| periods of sin, cos tan | sin an dcos 2pi, tan is pi |
| 1+cotx^2 | cscx^2 |
| 1+tanx^2 | secx^2 |
| sinx^2+cosx^2 | 1 |
| cos(90-x) | sinx |
| sin(pi/2-x) | cosx |
| csc(90-x) | secx |
| sec(pi/2-x) | cscx |
| cot(90-x) | tanx |
| tan(pi/2-x) | cotx |
| area of tri | .5bcsina |
| b^(log base b of p) | p |
| translate 4 units to right | f(x-4) |
| translate 4 units up | f(x)+4 |
| parabola with x orientation | (y-k)^2=4p(x-h) p>0 opens rt. |
| parabola with y orientation | (x-h)^2=4p(y-k) p>0 opens up |
| conics p | distance from parabola to the focus and directrix |
| ellipse x orientation | (x-h)^2/a^2+(y-k)^2/b^2=1 |
| ellipse major/minor axis | 2a, 2b |
| ellipse distance to focus | c=square root of (a^2-b^2) |
| hyperbola with x orientation, opens to sides | (x-h)/a^2-(y-k)^2/b^2=1 |
| hyperbola with x orientation, asymptote | y-k=+-(b/a)(x-h) |
| hyperbola distance to focus | c=square root of a^+b^2 |
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