What those ends do?
This is the only function that acts on itself by doing nothing. The result is a straight line. Draw an example.
What is the identity function?
These functions are continuous, has end behavior "down up", and has no asymptotes.
This is the line the squaring function is reflected over to get f(x) = -x2
What is the y=0?
This is the minimum value of the squaring function.
What is 0?
This is the simplest type of model.
What is a numerical model?
These functions have a range of [0, infinity) and has the end behavior "up up". Draw an example of one of them.
What is a quadratic function? What is an absolute value function?
This is the asymptote of the logarithmic function.
What is x=0?
This is the absolute value's line of symmetry. (in other words, what line can the absolute value function be folded over to get a mirror image?)
What is x=0?
This is the name of the point where the cubing function levels out and then continues increasing.
What is the point of inflection?
This type of model is represented visually.
What is a graphical model?
This function has the end behavior "down up" and a domain of all real numbers. Draw an example.
What is the cubing function?
This function has both vertical and horizontal asymptotes.
What is the reciprocal function?
Describe the transformation of the function f(x) = x2 that resulted in the function f(x) = (x+2)2-3
What is shifted down 3 and left 2?
These two functions have a cyclic max and min.
What is the sine function and the cosine function?
This type of model uses formulas to help us find unknown values.
What is an algebraic model?
This is the end behavior of a reciprocal function. Draw an example.
This is the asymptote of the inverse of the logarithmic function.
What is y=0?
Describe the transformation of the function f(x) = x3 that resulted in the function f(x) = -(x-4)3
What is shifted right 4 and reflected over the x axis.
This is the name for maximums and minimums of functions.
What is relative extrema?
Name the types of models to use for the following problem:
Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The drive had some files on it before the transfer, and the transfer happened at a rate of 4.4 megabytes per second. After 32 seconds, there were 384 megabytes on the drive. The drive had a maximum capacity of 1000 megabytes. How full was the drive when the transfer began?
What is numerical and algebraic?
This function has no end behavior. It is the only function with jump discontinuities.
What is the greatest integer function?
Graph the function and find the asymptote(s):
(x-2)/(x+3)
What is y=1 and x=-3?
Name the types of models used in the following problem.
A farmer wants to fence a rectangular area by using the wall of a barn as one side of the rectangle and then enclosing the other three sides with 160 feet of fence. Find the dimensions of the rectangle that give the maximum area in side.
What is an algebraic model and a graphical model?