Rational Functions
True or False in a rational function there is always a slant asymptote?
False
Do all functions have a inverse? when does a function not have a inverse?
no ; when it fails the horizontal line test
what is the parent function of a exponential function?
f(x)=ABx
What is the Vertical line test do?
determines if a graph is a function?
What is my Major?
Civil Engineering
Find the horizontal asymptotes of y=(x2 -9)/(x3-x)
y=0
solve the inverse y=2x+6
f-1= (x-6)/2
from the function how can you tell if a function is growth or decay?
Growth: B>1
Decay: B<1
sketch y= 2x/x2-4
show
Who is the other Math 141 SI Leader
Camila
Find the slant asymptote
x2+3x+2
_______
x-1
x+4
Determine Whether the function is ONE-TO-ONE.
a) ๐ = {(๐, โ๐), (๐, ๐), (๐, ๐), (๐, โ๐)
yes
is this equation growth or decay
y=-6(-56x)
Growth
How many images or gifs of the Muppets did I use in my slides?
3
find the HA, VA and holes in the equation.
2x2-12x+16
__________
x2-x-12
y=2
x=-3
holes x=4
find the inverse
5x+2
_____
9x-5
fโปยน(x) = (5x + 2) / (9x - 5).
How will this equation shift my graph? y=ex+5+4
Up 4; left 5
would you rather have a Penney that doubles every day for 30 days or 1 million dollars?
what kind of function is this?
penny that doubles would result in $5,368,709.12
Exponential
How many gifs (not images) did I use in my slides?
10
Determine what intervals the function is positive.
3x2 -5x+2
_________
x2-4
(-infinity,-2) and (2, infinity)
A local water park charges an entrance fee of $5 per person, plus an additional $2 per hour for the use of its waterslides. The total cost, C(x), for one person using the waterslides for x hours can be modeled by the function: C(x)=2x+5 where C(x) is the total cost in dollars, and x is the number of hours spent on the waterslides. If a person has a certain amount of money, say y dollars, how many hours can they spend on the waterslides? Find the inverse of the function C(x)=2x+5 and use it to determine how many hours a person can spend on the waterslides if they have $23.
9 hours
The half life of rubidium 445 is 1,890 years the amount present A after T years is represented by
A=ยฝ(t/1,890)
How much sample is there after 100 years (NO CALCULATOR!!)
A= ยฝ(100/1890)
Susan wants to have $7,500 in her savings account after 36 months. The bank offers an annual interest rate of 6.5%, compounded continuously. How much money should Susan invest now to reach her goal of $7,500 in 36 months?
A=Pert
P=
7500
_________
e0.065ร3
What 4 games have I played during my SI sessions
Jeopardy, kahoot, battleship, and Jenga