Function ops
e and ln
Apps of logs
Rational functions
Using the unit circle
100
evaluate g(n)=4n+5;Find g(7)
33
100
-6e8n+8-3=-23
-0.8495
100
What is the formula for calculating compounded interest
a(t)=(1 + r/n)nt
100
Find holes,intercepts, horizontal asymptote and domain.
f(x)=-4/x+1 +1
Holes=none
Horizontal asy= y=1
x-intercepts:3, y intercept:-3
domain:
All reals except-1
100
what is the coordinates on unit circle for 270 degrees
0,-1
200
g(x)=-2x+5
h(x)=x-2
find 5g(3)+h(7)
16
200
Solve
-e7-6n-4=-80
-ln 76+7/6
200
What is the formula for uninhibited exponential growth
N(t)=N0ekt
200
Find holes, intercepts, horizontal asymptote, and domain, then sketch graph
Holes:none
Horz asym: y=2
x intercepts: 3, y intercept:3
Domain all reals except 2
200
what is sin 315 degrees
-sqrt2/2
300
g(n)=n2+5
h(n)=4n-2
find(g*h)(n/2)
20n-20+n3-n2/2
300
solve log (4x2+8)-log4=1
2sqrt2,-2sqrt2
300
equation used to model radioactive decay when rate of decay is proportional to the amount present
A(t)= A0ekt
300
sketch graph
300
when finding reference angle what should you do if angle is greater than 360
subtract multiples of 360
400
g(x)=x-1
f(x)=X2-4
find g(-1)+f(-1)
-5
400
expand logarithm
log3 (ab6)5
5 log3 a+30log3b
400
This function is used to calculate the spread of dieases
N(t)=84/1+2799e-t
Logistic function
400
x and y intercepts than graph
x intercept= -4,1 y intercept=-2/3
400
what does Coterminal angles let you do
lets you rotate clockwise instead of counterclockwise on unit circle.
500
g(n)=2n+3
h(n)=n-1
find(g*h)(n)
2n+1
500
condense to single log
log8w+log8x+log8u5/2 +log8v/2
log8 (xw sqrtvu)
500
In Newtons law this variable represents the temp of surroundings
Ta
500
what are the vertical asymptote behaviors of this equation
500
cos and sin of 7pi/6
-sqrt3/2 -1/2