Basic Terms
A correspondence between one quantity (the input) and the other quantity (the output), which matches exactly one input with one output.
What is a function?
A close similarity, connection, or equivalence.
What is a correspondence?
A test to determine if an equation is a function. If there is a vertical line that intersects the graph of the function at more than one point, then it is not a function.
What is the vertical line test?
A function of degree one whose function is a non-vertical line.
What is a linear function?
The amount of quantity in a function.
What is magnitude?
A close similarity, connection, or equivalence.
What is a correspondence?
An algorithm for performing encryption or decryption- a series of well-defined steps that can be followed as a procedure.
What is a cipher?
A test to determine if a function has an inverse function. If there is a horizontal line that intersects the graph of the function at more than one point, then there is not an inverse function.
What is the horizontal line test?
A function whose graph is not a line.
What is a nonlinear function?
A principle of physics that states that the force needed to extend or compress a spring by some distance is proportional to that distance.
What is Hooke's Law?
The set of inputs.
What is the domain?
A change in location or size of a function?
What is a transformation?
A relationship between two variables that can be stated as a function of the form y=k/x where x and y are the variables and k is the constant of variation.
What is inverse variation?
A function that is defined by different expressions on different parts of the domain.
What is a piece-wise function?
A way to write functions that makes them easier to read and understand.
What is function notation?
The set of all possible outputs.
What is the range?
A type of transformation in which a figure moves to a new location creating a new figure that is identical.
What is a translation?
A relationship between three variables that can be stated as y=kxz where k is the constant and where y is a function of both x and z.
What is joint variation?
Functions that reverse the effect of each other. They are denoted by being raised to the -1 power.
What is an inverse function?
A composition of an x-coordinate with a y-coordinate, denoted between parentheses.
What is an ordered pair?
The result of plotting all ordered pairs, where x is any member of the domain f and y=f(x).
What is a graph?
The simplest function of a family of functions that preserves the definition, or shape, of the entire family.
What is a parent function?
A variation in which a variable changes directly or inversely with two or more variables at the same time.
What is combined variation?
A function made up of two functions in which the output of one function is used as the input of the other function.
What is a composite function?
An image of two circles that shows the relationship between the input and output values.
What is a mapping diagram?