What is parabolas, circles, ellipse, and hyperbolas.
100
What is the horizontal line test?
It is a test to see whether a function's inverse is a function. If the original function passes the horizontal line test then the inverse is a function.
100
What is the notation for the composition of functions.
What is y=f(g(x)
100
What is the formula for exponential functions?
T=P(1+or-r)^t
100
Convert the exponential function to log:
2^3=8
log2 8=3
200
Complete the Square: Standard to Vertex
y=x^2+6x-7
x=-1
200
Solve for for the inverse of f(x)=-3x+6
-1/3x+2
200
What is the alternate notation for the composition of functions.
What is y= fog(x)
200
If you borrowed $500 and you have to pay back it over 2 years at an interest rate of 4.5% per year, how much will you pay in addition to the loan?
$545.00
200
Convert to exponential function:
logu V=-14
U^-14=V
300
What are the asymptotes of this Hyperbola:
(y+8)^2/36 - (x+2)^2/25
y=5/6x-19/3
y=-5/6-29/3
300
What line is inverse functions reflected over?
Y=x
300
Solve the composite functions:
f(x) = 2x + 3
g(x) = –x2 + 5
f (g(x))
2x2 + 13
300
Solve the exponential equation with logs:
12^r=13
r=1.032211555
300
What is the inverse of a natural log?
e
400
What is the center and radius of the circle equation:
(x+5)^2+(y-5)^2 =25
Center= (-5,5)
Radius= 5
400
What is the inverse of:
g(x)=1/x-1
1/x +1
400
Solve:
f(x)=x+1
g(x)=x^2
f(g(-4))
17
400
What does exponential mean?
Growing or decaying extremely fast.
400
Solve:
log2 16
4
500
Complete the square:
x^2+24+y^2+10y=-160
(x+12)^2+(y+5)^2=9
500
Find the inverse:
f(x) = 2x+3
(y-3)/2
500
Solve:
f(x)=-x
g(x)=2x-5
f(g(x))
-2x-5
500
You have a loan money to a friend with an interest of 5%, and allow them to pay you back in a year. If you loan them $10,000 how much interest will you collect?