Functions and Inverses
Logarithms
Equations
Identities
Conic Sections and Polar Graphs
100
f(x) = 3x + 2 and g(x) = x - 1 then (f + g) = _______.
What is 4x + 1?
100
The exponential form of 3 = log2 8.
What is 2^3 = 8?
100
3x^2 + 6x - 9 = 0
What is 1 and -3?
100
The 2 quotient identities.
What is tan = sin/cos and cot = cos/sin?
100
x^2 + (y - 3)^2 = 4
What is a circle with center at (0,3) and radius of 2?
200
f(x) = 3x + 2 and g(x) = x - 1 then fg(x) = _________.
What is 3x^2 - x - 2
200
Logarithmic form of x^2 = 625
What is logx 625 = 2
200
x^2 + 2x + 5 = 0
What is -1 + 2i and -1 - 2i?
200
The 6 reciprocal identities.
What is sin = 1/csc, cos = 1/sec, tan = 1/cot, csc = 1/sin, sec = 1/cos and cot = 1/tan
200
x^2/4 - y^2/4 = 1
What is hyperbola with center at (0,0) and opens left and right.
300
f(x) = 3x + 2 and g(x) = x - 1 then (f o g)(x) = __________.
What is 3x - 1?
300
f(64) if f(x) = log4 x.
What is 3.
300
The square root of (-x + 6) = x - 4
What is 5?
300
The 3 Pythagorean identities
What is sin^2 + cos^2 = 1, tan^2 + 1 = sec^2 and 1 + cot^2 = csc ^2?
300
Polar form of (-4, -4)
What is 5pi/4
400
f(x) = 3x + 2 and g(x) = x - 1 then g^-1(x) = _________. (Find the inverse)
What is y = x + 1
400
4 log (x - 2) - 3 log x written as a single log.
What is log (x - 2)^4/x^3
400
x/(x+3) + 1/x = 1
What is 3/2?
400
Prove the identity: 1 - sin x cos x tan x = cos^2 x
What is 1 - sin x cos x (sinx/cosx) 1 - sin x sin x 1 - sin^2 x cos^2 x = cos^2 x
400
Rectangular for of r = 3
What is x^2 + y^2 = 9
500
If f(x) = 5x - 2 then f^-1(x) = __________. (Find the inverse)
What is y = x/5 +2/5?
500
4^(x+3) = 8
What is -3/2
500
x^3 + 5x^2 - 3x - 15
What is -5, -square root of 3 and +square root of 3
500
Solve: cos 2x = 0
What is pi/4 and 7pi/4
500
Describe the graph of r = 4 sin 2x (x=theta)
What is a rose with 4 petals and max length of 4?
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