77 terms
SAT Math level 2 Subject Test
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