Functions
Trigonometry
Polynomials/Rationals
Exponents/Logarithms
100
Find f(-1), f(15), f(-4)
f(-1) = -5
f(15) = 6
f(-4) = 18
100
a. Find the value of IN in simplified radical form
b. Find and simplify the ratio for cos(P)
a. 3√5
b. 1/2
100
Write a potential equation for this graph?
f(x) = (x+3)(x+1)(x-2)^2
100
Sketch the graph of the following function:
f(x)=e^x+2
200
Line A passes through the point (-4, 5) and has a slope of -1/2.
What is the equation of the line?
f(x)=-1/2x+3
200
Convert the following angles from degrees to radians (leave π in your answer).
a. 120º
b. -225º
c. 180º
a. 2π/3
b. 3π/4
c. π
200
What are the horizontal and vertical asymptotes of the following rational function:
f(x)=(2x+3)/(x+1)
HA: y=2
VA: x=-1
200
Evaluate the logarithm:
log_9(1/3)
-1/2
300
Let f(x)=2x^2-5 and g(x)=3x-1
"Find" f(g(x))?
18x^2-12x-3
300
What is the equation of the following sinusoid?
f(x) = cos(x) - 2
300
What is Mr. Lord's dog's name?
Rigatoni
300
Solve the following equation for x (simplify as much as possible, no calculator needed):
ln(3/2x+9)=1
x=2/3e-6 or x=(2e-18)/6
400
Draw a the following function on a coordinate plane:
h(x) = -sqrt(x-3)+5
400
Solve the following equation for x given the domain 0≤x≤2π OR 0≤x≤360:
2sin(x)-sqrt(3)=0
x={pi/3,(2pi)/3} or x={60º,120º}
400
Divide
(6x^2-5x+4)/(3x-1)
2x-1+3/(3x-1)
400
Solve the following equation for x:
27^(2x)=(1/9)^(x-1)
x=1/4
500
Find the inverse of the function:
f(x)=(3x)/(x+2)
f^-1(x)=(2x)/(3-x)=(-2x)/(x-3)
500
Solve the following for all x:
cos(x)sin(x)=0
x=pi/2k
"Where k is an integer"
500
A cubic function has the roots x=3, x=2+i, and x=2-i. Write a possible equation for the function in standard form
f(x)=x^3-7x^2+17x-15
500
Evaluate the following:
log_(sqrt(b))(b)^(3/5)
6/5