The Unit Review of Unit 1: Functions, Precalculus/Trigonometry.
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Dependent variable | A variable in a function whose value is dependent upon the value of the independent variable.
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| Independent variable | The input variable in a function. Its value determines the value of the dependent variable.
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| Function | A special kind of relation in which each value of the input variable is paired with exactly one value of the output variable. A function usually has form of 'f(x) = x'.
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| Domain | The set of all possible values of the independent variable. It is also the set of all values a function takes as inputs. The domain is represented by 'x'.
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| Range | The set of all possible values of the dependent variable. It is also the set of all values a function returns as outputs. Range can be noted as 'f(x)', or 'y'.
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| Interval Notation | A shorthand way of writing intervals using parentheses and brackets. Parentheses signify EXCLUDED value, while Brackets signify INCLUDED value.
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| Absolute Value function | f(x) = |x|. The magnitude of x.
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| Greatest Integer function | f(x) = x. The greatest integer less than or equal to x.
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| Many-to-One | A function where two or more x-values are assigned to one y-value.
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| One-to-One | A function where each y-value has one assigned x-value.
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| Vertical Line Test | A vertical line drawn through a graph will touch in, at most, one place. Otherwise the test is failed, and the graph is not a function.
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| Difference Quotient | A method of finding the slope between two points on a curve.
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| Linear function | A function whose graph is a line.
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| Slope | A ratio of the increase in y-coordinate of a line to the increase in x-coordinate of that line.
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| Arithmetic Sequence | A collection of number separated by commas in which the difference between any two adjacent numbers is constant.
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| Explicit Formula | A formula that allows the direct calculation of all terms in a sequence.
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| Partial Sum | The sum of the first 'n' terms of a sequence. Denoted by the symbol Sn.
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| Recursive Formula | A formula that defines numbers in a sequence in terms of previous numbers in the sequence.
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| Sequence | A set of numbers written in a particular order.
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| Series | A collection of terms in a sequence that are added together to produce a sum
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| Sigma Notation | A shorthand notation using the Greek letter 'sigma' to denote the sum of a series.
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| Linear Equation | An equation in which the variable is of degree one.
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| Linear Inequality | An inequality in which the variable is of degree one.
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| Point-Slope Form | A form of a linear equation that includes the coordinates of a point on the line and the line's slope. y – y1 = m(x – x1); (x1, y1)
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| Slope-Intercept Form | A form of a linear equation that includes the slope of the line and the value of the y-intercept. y = mx + b
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| Standard Form (of a Linear Equation) | A linear equation written in the form Ax + By + C = 0.
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| Undefined | A value that cannot be computed.
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| Coincide | To overlap, or in the case of lines, be identical.
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| Feasible Region | A region on a graph that includes all possible solutions to a system of inequalities.
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| Matrix | A collection of numbers represented in a rectangular format
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| Matrix Algebra | A set of rules that describe how to solve complex algebraic problems using matrices.
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| Ordered Pair | A combination of x- and y-coordinates that describe a point on a graph. (x, y)
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| Parallel Lines | Two lines with equal slopes that never intersect.
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| System of Linear Equations | A set of two or more linear equations.
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| Commutative Property | Operations may be performed in any order and they will always produce the same result.
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| Function Composition | Combining two functions into a single function.
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Created by:
TeralynE
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