Polynomial Functions
The degree of the polynomial 2x3 + 4x2 - 1
What is 3?
The basic rational function from which all transformations can be made
What is 1/x?
The rules regarding how exponents should be handled in mathematical equations/expressions
What are exponent laws?
One divided by a function
What is a reciprocal function?
A function that has this is considered either odd or even.
What is symmetry?
A way to algebraically transform a function
What is the Mapping Rule?
A value that a function never reaches as it approaches infinity
What is an asymptote?
The laws that determine how logarithms work in mathematical expressions/equations
What are log rules?
When a trigonometric ratio is raised to the power of negative one
What is an inverse trigonometric ratio?
The rate of change calculated by using two points on a secant line through a function's graph
What is the average rate of change?
The name for a statement such as y > 3x
What is an inequality?
The result of a rational function where the denominator equals zero
What is undefined?
The default assumed base for a logarithm
What is base 10?
A unit for measuring angles based on an arc of length equal to the radius of a circle
What is a radian?
A line drawn to aid in calculating the instantaneous rate of change
What is a tangent line?
When f(x) is divided by (jx - k), the remainder will be f(k/j)
What is remainder theorem?
A tool used when determining the solution to a rational inequality
What is an interval table?
An example of how exponential functions are used in the world of banking
What is compound interest?
Trigonometric equations that can be formed and proven by using the basic trigonometric ratios
What are the compound, double, and half angle formulae?
The result of performing arithmetic operations on two or more different types of functions
What is a compound function?
A topic in physics that uses a quadratic function to model an object's trajectory
What is projectile motion?
A rational function used in business to determine how much of a product must be sold in order to start earning profits
What is Break-Even Point Analysis?
A famous usage of logarithms to calculate and compare the intensity of earthquakes.
What is the Richter Scale?
A common amusement park ride where the height of the rider over time can be modelled by a sinusoidal function
What is a Ferris wheel?
The term for when the result of a function is substituted into another function, for example: f(g(x))
What is a composite function?