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Algebra 2 & TrigonometryFinal Study GuideImportant Facts A function is a relation in which each element of the domain corresponds with exactly oneelement of the range.A function is one-to-one if each element of the range corresponds to exactly one x-value inthe domain.The vertical line test states that if a vertical line passes through more than one point on agraph of a relation, then the relation is not a function.The horizontal line test states that if a horizontal line passes through more than one point ona graph of a function, then the function is not 1-1.Direct variation is a relationship that can be expressed as the function, where k is theconstant of variation. Notice that solving for k results in the equation. The graph of adirect variation is a line that passes through the origin. A direct variation represents aconstant rate of change (slope) with an initial value (y-intercept) of 0.Inverse variation is a relationship that can be expressed as the function, where k is theconstant of variation. Notice that solving for k results in the equationwhere theproduct is constant. Where the constant is positive, a decrease in the value of one factormust accompany an increase in the value of the other factor. When two quantities varyinversely, as one quantity increases, the other decreases proportionally.The sum of the roots of a quadratic equation is. The product of the roots of a quadratic equation is To complete the square add ( ) Number pairs of the formandare complex conjugates.On the graphs ofando Amplitudeo B is the frequency or the number of cycles from. .o is the period of the function. ,,,An arithmetic sequence follows a pattern of adding a fixed amount from one term to thenext.A geometric sequence follows a pattern of multiplying a fixed amount (not zero) times eachterm to arrive at the following term.The binomial probability of x successes in n trials isn denotes the number of fixed trialsx denotes the number of successes in the n trialsp denotes the probability of successq denotes the probability of failure (1-p)
Types of functions
When interest is compounded n times per year for t years at an interest rate of r, the principal, P,grows to the amount A given by the formula:
Algebra 2 & Trigonometry Final Study Guide Important Facts A function is a relation in which each element of the domain corresponds with exactly one element of the range. A function is one-to-one if each element of th
