Inverse Functions
Average Rate of Change
Finding Solutions (Factoring/Quad Formula)
STATS Week
100
What are the steps to find the inverse of any function?
1. Rewrite f(x) as y.
2. Switch x and y.
3. Solve for y
100
Average rate of change is the same as
SLOPE!
100
When you factor, you are doing the opposite of the
Box method
100
What type of data collection represents the video?
Simulation
200
Find the inverse of the following function:
f(x)=(-x-1)/5
f^-1(x)=-5x-1
200
Using the equation to find the average rate of change between [-1,3].
f(x)=x^2+1
2
200
What is the quadratic formula?
x=(-b+-\sqrt(b^2-4ac))/(2a)
200
You have data with a normal distribution. The mean is 175 with a standard deviation of 37. What percent values are within the interval (138,212)?
68%
300
Find the inverse:
f(x)=4/(-x+3)+1
f^-1(x)=-4/(x-1)+3
300
Use the graph to find the average rate of change between [-2,0]
-5
300
Solve by factoring
7x^2+10x-1=-4
{-3/7,-1}
300
You have data that has normal distribution. The mean is 121 with a standard deviation of 40. What interval contains 95% of all values?
(41,201)
400
Find the inverse to the following function:
f(x)=-x^5+1
f^-1(x)=root(5)(-x+1)
400
Using the table, find the average rate of change between the interval x=0 to x=3.
9
400
Determine the solutions for the function. Leave any answers in fraction form.
2x^2+7x-114=0
x={6,-19/2}
400
You draw a card from a standard deck. What is the probability that you will draw a spade or a diamond if replacement is NOT allowed? Leave your final answer as a fraction.
103/204
500
Find the inverse to the following function:
f(x)=root(3)(x)+3
f^-1(x)=(x-3)^3
500
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change between these two time intervals?
75 feet per hour.
500
Determine the zeros to the following function:
9x^2+6x+17=9
{(-1+i\sqrt7)/3,(-1-i\sqrt7)/3}
500
Jahnexi is a very good student. The probability that she studies and passes her math test is 17/20. If the probability that Jahnexi studies is 15/16, find the probability that she passes her test given that she studied. Leave it as a fraction.
68/75