Simplify
5(12)1/2
10(3)1/2
(x+1)1/2 = 4
x=15
The Domain of an exponential function
What is All Real numbers?
What is an Exponential Function?
I have 10 pairs of pants and 12 different shirts, how many outfits can I wear?
120
(2! 3!)/ 5!
1 / 10
2x - 3 = 5
x = 3
For f(x)= -log|x+2|, what does y go to as x goes to infinity?
What is negative infinity?
This type of function has both a vertical and horizontal asymptote. It will also sometimes have holes.
What is a rational Function?
A mill cuts boards to a mean length of 172cm with an error bound of 4cm. What is the longest acceptable length?
176cm
1/x + 2/(3x)
5 / (3x)
|x+1| = 4
x= -3, 3
The total area underneath a normal distribution.
1 or 100%
This slow growing function has a vertical asymptote on its most negative side.
What is a logarithmic function?
The 100m dash has 8 racers at a given time, how many ways can those racers finish in the top 5? Order matters.
336
(x6y4w8) / (x4y5w5)
(x2w3) / y
1/ x = 2 / (2+x)
x = 2
The location of the inflection point of f(x)= (x+1)1/3 - 1
Where is (-1,-1)
This type of slow growing, symmetrical function is the inverse of odd polynomial functions.
What is are odd radical functions?
A square root function has been transformed by vertically shifting up 4 and to right by 3. What is that function's inverse function?
y=x2-8x+14
Rationalize the Denominator: (x-1) / (x+2)1/2
( (x-1)*(x+2)1/2 ) / (x + 2)
(x2+3x+2) / (x2+2x+1) = 2x+1
x= -1, -1/2
The horizontal asymptote of the rational function f(x)= (12x+36) / (3x-2), is located here.
y = 4
This type of decreasing function begins with an initial amount and decreases towards a horizontal asymptote as x goes to infinity.
What is an exponential decay function?
The population of small zebra herds is normally distributed. The mean size is 8 members with a standard deviation of 1.5. If a herd has a z-score of -2, how many members are there?
5 Zebra