Chapter 1: Introduction to Functions and Graphs
A number written in the form a * 10b, where 1<a<10 and b is an integer, is in this type of notation.
What is scientific notation?
This number of points uniquely determines the equation of a line.
What is two?
This is the name given to the highest (or lowest) point on the graph of a quadratic function.
What is the vertex?
A quadratic function will cross the x-axis at most this number of times.
What is two?
"And when she knows what she wants from her time
"And when she wakes up and makes up her mind"
What is "Uptown Girl?"
The formula for the distance between two points is based on this famous theorem.
What is the Pythagorean Theorem?
Given the area A of a triangle and the base length b of the triangle, this formula gives the height h of the triangle.
What is h = 2A/b?
This quantity tells the type of solution a given quadratic equation possesses.
What is the discriminant?
The end behavior of a polynomial with this type of degree is that the tails of the function will either both point up or both point down.
What is even?
"He says, 'Son, can you play me a memory?
"'I'm not really sure how it goes
"'But it's sad, and it's sweet, and I knew it complete
"'When I wore a younger man's clothes'"
What is "Piano Man?"
This is the set of numbers that can be written as a/b, where a and b are both integers, a/b is in simplest form, and b is not equal to 0.
What is Q/the set of rational numbers?
These are the possible values of x if 6 - x > 4x + 1.
What is x < 1?
This is the simplified form of the square root of x2.
What is |x|?
In the function f(x) = 1/x, you will find this at x = 0.
What is a vertical asymptote?
"If you said goodbye to me tonight
"There would still be music left to write
"What else could I do
"I'm so inspired by you
"That hasn't happened for the longest time"
What is "The Longest Time?"
What are the domain and range?
If an object that weighs 100 pounds on Earth weighs 16.53 pounds on the moon, then another object that weighs 40 pounds on Earth weighs this much on the moon.
What is 6.61 pounds?
These are the possible values for x if x2 - 4 > 0.
What is x < -2 or x > 2?
This line is the horizontal asymptote of f(x) = (3x2 + 1)/x2.
What is y = 3?
"What's the matter with the crowd I'm seeing?
"Don't you know that they're out of touch?
"Should I try to be a straight 'A' student?
"If you are then you think too much"
What is "It's Still Rock and Roll to Me?"
The average rate of change represents this quantity of a linear function.
What is the slope?
These are the possible values for x if |2x - 5| < 7.
What is -1 < x < 6?
g(x) is the graph of f(x) = x3 when the graph is shifted to the right by 3 units and reflected across the x-axis.
What is g(x) = -(x - 3)3?
This is the solution to 3/(3x + 4) = 1.
What is x = -1/3?
"Listen boy it's not automatically a certain guarantee.
"To ensure yourself you've got to provide communication constantly."
What is "Tell Her About It?"