Conic Sections
Inverse Functions
Composite Functions
Exponential Functions
Logarithmic Functions
100
An ellipse looks like...
What is an oval
100
The functions that are flipped over the line y=x
What is Inverse Functions
100
What is the notation for composition of functions
y=f(g(x))
100
If a graph goes up it is
Growth
100
What is the product rule?
logbMN=logbM+logbN
200
Standard form of a circle is...
What is (x-h)^2+(y-k)^2=r^2
200
f(g(x))=x and g(f(x))=x then f(x)=g(x) are..
Inverses of each other
200
What is the alternate notation of composition of functions
y=f O g(x)
200
What is the equation of exponential functions
T=P(1+-r)^t
200
What is this simplified log5(15*4)
log5 15+log5 4
300
Convert this hyperbola -4x^2+y^2-8x-12y+36=0
What is (x+1)^2-(y-6)^2/4=1
300
What is the first thing you do when finding the inverse of a function
Change the f(x) to a y
300
Are these inverses of each other g(x)=4-3/2x f(x)=1/2x+3/2
No
300
If the equation has a subtraction sign then the graph is...
Decaying
300
What does ln stand for?
Natural Log
400
What conic section is this equation? 3x^2=30x+y+79=0
What is a parabola
400
What is the vertical line test used for?
Functions have to pass this test. If the graph touches more than once, it is not a function.
400
Find the inverse of this function g(x)=1/x-2
g^-1(x)=1/x+2
400
I owe $15,000 in student debt. If my interest is 5.6%, how much will I owe in 5 years?
$19,697.49
400
Convert this log to an exponential function. 2^3 =8
log2 8=3
500
Change this equation to the standard form of an ellipse 4y^2-338x+32y=-169x^2+443
What is (x-1)^2/4+(y+4)^2/169=1
500
What is the horizontal line test?
It is used to determine whether a functions inverse is a function.
500
Complete this function q(4x+1)=(4x+1)^2-3
16x^2+8x-2
500
What is the interest value of the equation y=15,000(1+.056)^5
4,697.49
500
Solve this exponential function for a. 8^-5a-5=53
a= -.3905