Chapter 5: Exponential and Logarithmic Functions
This function is the composition of f(x) = 1/x and g(x) = x2, where f and g are defined on all the positive real numbers.
What is 1/x2?
A system of two linear equations will have no solutions if the lines they represent possess this property.
What is parallel?
This is a shorter way to write n * (n - 1) * (n - 2) * ... * 3 * 2 * 1.
What is n!?
This set contains all the possible outcomes of a probability experiment.
What is the sample space?
The mascot for this school is a blue winged horse named "Lightning."
What is Middle Tennessee State University?
This function is the inverse of f(x) = (x - 1)5.
What is f-1(x) = x1/5 + 1?
This is the solution for the following system of linear equations: 6x − y + 3z = −9; 5x + 5y − 5z = 20; 3x − y + 4z = −5.
What is (-1, 6, 1)?
This is an outcome where the order of the events matters.
What is a permutation?
Two events are considered disjoint if the probability of both events occurring simultaneously is this quantity.
What is 0?
The mascot for this school is a giant blob named "Big Red."
What is Western Kentucky University?
This function is the inverse of f(x) = ex.
What is f-1(x) = ln(x)?
This is the form of an augmented matrix that you find to solve a system of linear equations.
What is reduced row-echelon form?
According to this principle, when counting the number of possibilities for a sequence of independent events, multiply the number of possibilities for all the events.
What is the Fundamental Counting Principle?
When flipping a fair coin twice, this is the probability of flipping a head and a tail. (Order does not matter.)
What is 1/2?
This is the name of the University of Tennessee's mascot, which is a coonhound.
We use this test on the graph of a function to determine if it is invertible.
What is the Horizontal Line Test?
Multiplying a matrix by this type of square matrix is like multiplying a number by 1.
What is the identity matrix?
In a class of 16 students, there are this many orders for 4 students each giving a speech.
What is 43,680?
This is the probability of drawing three aces in a row from a standard deck with replacement.
What is 1/2197?
What is Auburn University?
This is the simplified form of log(5) + log(20) - 2log(1).
What is 2?
This matrix is the inverse of the following matrix.
1 4
-2 -9
What is this matrix?
9 4
-2 -1
What is 6?
This is the probability of drawing three face cards (jack, queen, or king) in a row from a standard deck without replacement.
What is 11/1105?
This university has two reptilian mascots: Albert and Alberta Gator.
What is the University of Florida?