Functions
Find the Y intercept of y=-4/7x - 2.
y = -2
What are the parent functions of a Parabola?
f(x) = x^2
True or False: sin^2(theta) + cos^2(theta) = 1
True(Pythagorean Identity)
Solve for x: 3^x = 81
x = 4
What is the value of i^2?
-1
Find the slope of y = 3x + 7
Slope = 3
Describe the shift for:f(x) = (x-3)^2 + 4
Right 3 units, Up 4 units.
What is the exact value of sin(pi/3)?
(3^1/2)/2
Expand using log properties: log(ab).
log(a) + log(b)
Convert (1, 1) from rectangular to polar (r, theta)
(2^1/2, 45(Deg)) or (2^1/2, pi/4)
What are the 4 ways to represent a function?
Graphically
Verbally
Algebraically
Enumeratively
Find the inverse f^-1 of f(x) = 2x - 5
F^-1(x) = x+5/2
Use a Double Angle formula to find sin(2theta) if sin(theta) =1/2
sin(2theta)= 2 sin(theta) cos(theta)
Condense: 2ln(x) - ln(y)
ln(x^2 / y)
Express z = 1 + i (3^1/2) in trigonometric form (r(cos(theta) + i sin(theta))
2(cos(pi/3) + i sin(pi/3))
What does: F(x) mean?
The value of the Function F for that X
State the domain and range of f(x) = (x)^1/2
Domain:[0,infinity)
Range:[0,infinity)
Solve for x in [0,2\pi]: 2 cos(x) - 1 = 0
x= pi/3
y= 5pi/3
Solve for x: log_2 (x+3) = 4
x = 13 (Since 2^4 = 16, then x + 3 = 16).
What is the shape of the polar equation
r = 3 sin(2theta) ?
A Rose Curve (specifically with 4 petals)
What is Domain and Range?
Domain: The set of all x-values
Range: The set of all y-values
Is f(x) = x^3 - x: even, odd, or neither?
Odd
Simplify: tan(x) / sec(x)
sin(x)
What is the formula for Compound Interest "compounded continuously"?
A = Pe^rt
State De Moivre’s Theorem for (r(cos(theta) + i sin(theta))^n.
r^n(cos(n theta) + i sin(n theta))