Linear/Quadratic
y-y1=a(x-x1)
What is the point-slope form of an equation for a linear equation?
y=axb
What is the formula of a power function?
Logistic functions are useful to model ____________.
What is "restrained growth"?
Or
What is "growth models that reach a maximum"?
The point that an exponential function always passes through.
What is the point (0,a) (where a is from the exponential equation y=axb)?
A logarithm is ___________.
What is "an exponent"?
The vertex of a quadratic function in vertex form
What is (h,k)?
Power functions follow this numerical pattern.
What is "multiply-multiply"?
Logistic functions are defined between an upper and a lower bound where there are these.
What are (horizontal) asymptotes?
This is the numerical pattern of an exponential function.
The logarithmic function is the inverse of this function.
What is the exponential function?
Constant second differences
What is the pattern that quadratic functions follow?
The graph of a power function always either has asymptotes on the x and y axes or crosses through this point.
What is the origin?
Or
What is (0,0)?
The upper bound (or asymptote) of a logistic function can be found from this part of the equation for a logistic function.
Or
The numerator in the equation y=c/(1+ab-x)
An exponential function will never reach y=______.
What is "0"?
logbx=y iff ________.
What is "by=x"?
You must have this to find the particular equation for a quadratic.
What is three points?
Or
What is the vertex and another point?
When finding the particular equation for a power function, I first plug in two points to create two equations. Then I divide these equations. In order to solve for my variable in the exponent, I ___________.
What is "take the log of both sides"?
Or
What is "use logarithms"?
This is the function that a logistic function is derived from. (For part of the graph, logistic functions take the shape of this function)
What is an exponential function?
To find the particular equation for an exponential function, I first plug in two points to create two equations. Then, I must ________ these equations.
What is "divide"?
To find the particular equation for a logarithmic function, I plug in two points and make two equations. Then I must ________ these two equations.
What is "subtract"?
Quadratic functions are a particular case of this broader kind of function.
What is the power function?
This is the particular equation for the power function that crosses through the points (2, 15) and (6, 20).
What is y=12.51x0.26186?
To solve for a particular logistic function, I need to plug in two points and create two equations. I will divide these equations by each other to solve for the missing variables, but first I must ___________.
When the base b (the value being exponentially grown) in the equation y=abx is in between 0 and 1, the graph of the exponential function __________.
What is "decreases"?
If log(x+2)2=0, x=____.
What is "-3 or -1"?