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Precalculus Review
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Gravity
Terms in this set (27)
Domain of sin(x)
All real numbers
Range of sin(x)
[-1, 1]
Period of sin(x)
2π
Domain of cos(x)
All real numbers
Range of cos(x)
[-1, 1]
Period of cos(x)
2π
Range of tan(x)
(-inf, +inf)
Asymptotes of tan(x)
x = π/2 +- πn
Domain of tan(x)
All real numbers where x != π/2 +- πn
Period of tan(x)
π
Equation for Parabola
y = ax^2 + bx + c
Synthetic Division
Possible roots are factors of constant over factors of leading coefficient (plus or minus). Do synthetic division using the root itself.
Law of Sines
sin(a)/a = sin(b)/b = sin(c)/c
Law of cosines
c^2 = a^2 + b^2 - 2abcos(c)
Vertex of a Parabola
(-b/2a, f(-b/21)
Domain of log(x)
x > 0
A function is even if...
f(x) = f(-x)
A function is odd if...
f(-x) = -f(x)
When doing synthetic division to divide f(x) by (x - c), you use...
c
(a+b)^2 =
a^2 + 2ab + b^2
Transformation of f(x) is f(x) = af(x)
f(x) is stretched vertically if a > 1, compressed vertically if a < 1.
Transformation of f(x) is f(x) = f(ax)
f(x) is compressed horizontally if a > 1, stretched horizontally if a < 1.
When canceling out a factor from the denominator...
Note that x cannot be a value that makes that factor 0 in the solution
Conjugate of a + b
a - b
Conjugate of a - b
a + b
1/sqrt(3) =
sqrt(3)/3
1/sqrt(2) =
sqrt(2)/2
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