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Pre-Calculus Ch 1
| Term | Definition |
|---|---|
| composition | The combining of functions by using the result of one function to evaluate a second function. |
| continuous function | A function that can be graphed with no breaks, holes, or gaps. |
| dilation | A transformation in which the graph of a function is compressed or expanded vertically or horizontally. |
| domain | The set of all numbers that can be put into a function. |
| end behavior | Describes what happens to the value of f(x) as x increases or decreases without bound. |
| even function | A function that is symmetric with respect to the y-axis. |
| extrema | The maximum and minimum values of a function. |
| function | A relation that assigns to each element in the domain exactly one element in the range. |
| interval notation | An expression that uses inequalities to describe subsets of real numbers. |
| inverse function | Two functions (f and f^-1) are inverse functions if and only if f[f^-1(x)] = x for every x in the domain of f^-1(x), and f^-1[f(x)] = x for every x in the domain of f(x). |
| limit | The unique value that a function approaches as x-values of the function approach c from the left and right sides. |
| maximum | For a function f, the greatest value of f(x). A critical point on the graph of a function where the curve changes from increasing to decreasing. |
| minimum | For a function f, the least value of f(x). A critical point on the graph of a function where the curve changes from decreasing to increasing. |
| odd function | A function that is symmetric with respect to the origin. |
| parent function | The simplest function in a family of functions. A function that is transformed to create other members in a family of functions. |
| range | The set of all output values of a function. |
| reflection | A transformation in which a mirror image of the graph of a function is produced with respect to a specific line. |
| decreasing function | for every x1 and x2 in an interval where f(x1)>f(x2) when x1<x2 |
| increasing function | for every x1 and x2 in an interval where f(x1)<f(x2) when x1<x2 |
| zeros | The x-intercepts of a function. |
| point symmetry | Graphs that can be rotated 180 degrees with respect to a point and appear unchanged |
| line symmetry | Graphs that can be folded along a line so that the 2 halves match exactly. |
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