Polynomial and Rational Functions
What is the name of this formula? f(b) - f(a)/ b - a
Average rate of change
As x increases by 1, f(x) increases by a multiplication factor of 2. What type of growth is this?
Exponential.
This specific type of shape is used to evaluate radians and coordinates.
What is the Unit Circle?
What is this type of equation for? (x - h)^2 + (y - k)^2 = r^2
Circle
What is the name of this line/curve that can be horizontal or vertical?
Asymptote
Evaluate this logarithmic expression. Log2(8)
3
What is the name of this equation? Sin^2(x) + Cos^2(x) = 1
Pythagorean Identity
What is this type of equation for? (x - h)^2/a^2 + (y - k)^2/b^2 = 1
Ellipse
This is a key feature of even functions.
Symmetry
The number of bacteria in a certain population increases according to a continuous exponential growth model at a rate of 8.1% per hour. There are 1800 bacteria at t = 0. Write an equation that gives the number of bacteria after t hours.
N(t) = 1800e^0.081t
The trigonometric function that is defined by the ratio of length of adjacent side over the hypotenuse is known as what?
Cosine
(x + 2)^2/25 + (y - 6)^2/1 = 1. Determine the center and value of a and b.
(-2,6). a =5. b = 1.
What is it called when the same expression (example: (x - 1)) appears in the numerator and denominator of a rational function?
A hole
The approximate number of fruit flies in an experimental population after t hours is given by A(t)=30e^0.03t. What is the initial number of fruit flies?
30
Name a feature of a sinusoidal function
Amplitude, midline, or period
What are these equations for? x = a(y - k)^2 + h and y = a(x - h)^2 + k.
Parabolas
What are the values in the domain of the function that make the numerator of a rational function zero?
X intercepts.
A population of bacteria grows according to the exponential model: P(t) = Pe^0.3t where P(t) is the population after t hours and P is the initial population. If the initial population is 500 bacteria, what will the population be after 4 hours?
Approximately 1,660.
If k(x) = tan^2x - 3tanx. Find all input values in the domain of k, for which k(x) = 18.
tanx = 6. tanx = -3
What are these equations for? (x - h)^2/a^2 - (y - k)^2/b^2 = 1 and - (x - h)^2/a^2 + (y - k)^2/b^2 = 1
Hyperbolas