General
Function
Function
The minimum and maximum of the graphically defined function f
min: (-1,-3)
max: (2,5)
y=-3x+1
slope: -3
y intercept: 1
Write the quadratic in vertex form
2x2+8x+1
2(x2+4x+4)-8+1
2(x+2)2-7
Use the compound interest formula P(t)=P0(1+r/n)nt to find how much is in an account with an Initial amount = $400 and Yearly Interest rate = 3% after 1 year of monthly compounding.
400(1+.03/12)12*1 = $412.17
Domain:[-2,4]
Range: [-3,0)U[1,5]
If the population of a town is approximated by the linear function
P(t)=4500+250t in years since 2000, when will there be about 5000 people?
t=2
Year: 2002
Solve the quadratic
x2+x=3x-1
x2-2x+1=0
(x-1)2=0
x=1
Use the simple interest formula P(t)=P0(1+rt) to find how much is in an account after two years with an initial amount = $400 and a yearly interest rate = 3%
400(1+.03*2)= $424
Using transformations, plot g(x)=2|x-1|+1
vertex at (1,1)
slope 2
Find the equation of the line through the points (1,2) and (9,3)
y=1/8(x-1)+2
y=1/8x+15/8
2x2-3x-2=0
(2x+1)(x-2)=0
x=-1/2 or x=2
A continuously compounded bank account starts with $100. With a yearly interest rate of r=5%, how long will it take for the initial amount to triple?
Almost 22 years
g(x)=2x+1
Simplify the function composition f(g(x))
f(g(x))=4x2+4x+3
Use the table to find the average rate of change of ladybug births between 1995 and 2025?
The trajectory of dropped object is given by
h(t)=-16t2+h0 where h is in feet where t is in seconds
If the object hits the floor at t=3 s, what was the initial height h0?
h(3)=0
144 ft
Solve the logarithmic equation
ln(x+1)+ln(x-1)=2ln(1)
No Solutions