2: Polynomial and Rational Functions
Find the vertical asymptote(s) of
x^2 + x - 2 / x^2 - x - 6
What is 3?
Solve
8 = 2^(2x-1)
What is 2?
The coordinates for pi/4
What is (sqrt2/2, sqrt2/2)?
The reciprocal identity of csc u
What is 1/sin u?
The Heron's Area Formula
What is sqrt s(s-a)(s-b)(s-c)?
Solve
x^3 + 3x^2 - 14x - 20 / (x + 5)
What is x^2 - 2x - 4?
Describe the transformation
4^(-x) - 3
What is reflection, down by 3?
Answer in radians
240 degrees = ?
What is 4pi/3?
The cofunction identity of cos(pi/2 - u)
What is sin u?
The formula for s in the Heron's Area Formula
What is s = a + b + c/2?
Solve for all factors
x^4 - 14x^2 + 45 = 0
What is {-3, 3, -sqrt5, sqrt5}?
Write the logarithmic equation in exponential form
log(32)4 = 2/5
What is 32^2/5 = 4?
Find two coterminal angles (one positive, one negative)
9pi/4
What is 5pi/3 & -7pi/3?
Simplify csc(x) - cos(x)cot(x)
What is sin x?
The area of a triangle with the side lengths of
a = 5
b = 4
c = 9
What is 3?
Find the horizontal and vertical asymptotes
3x^2 + 7x - 6 / x^2 + 4x + 3
What is VA = -1, HA = 1?
Solve
log11 = log(x^2 + 7)
What is {-2, 2}?
Find the sine, cosine, & tangent
t = -7pi/4
What is sin = sqrt2/2, cos = sqrt2/2, tan = 1?
csc(x) + cot(x) = sin(x)/1-cos(x)
What is true?
The area of a triangle with the side lengths of
a = 12
b = 9
c = 7
What is 14sqrt5?
Solve using the quadratic formula
6x^2 + 3x + 27 = 0
What is {-1/4 + (sqrt71/4)i, -1/4 - (sqrt71/4)i}?
Solve
ln e^[ln(1/e)]
What is 1/e?
Evaluate each function
cos t = 4/5
(a) cos (pi - t)
(b) cos (t + pi)
What is a) -4/5 & b) -4/5?
Solve
4sin^2 x - 3 = 0
What is sin(x) = +- sqrt3/2?
The area of a triangle with the side lengths of
a = 18
b = 13
c = 14
What is 9 sqrt1615/4?