Functions
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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| variable | symbol that can be replaced by any member of a set of numbers or objects
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| algebraic expression | The result when numbers and variables are combined using the operations of arithmetic.
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| Order of Operations | 1. Perform operations in parentheses, brackets.
2. Take powers.
3. Multiply and divide in order from left to right
4. add and subtract in order from left to right.
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| What is the dependent variable in the equation P=5H and why? | P because its value depends on the amount for H. (H is independent variable)
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| Function | A correspondence or pairing between 2 variables such that each value of the first (independent) variable corresponds to exactly one value of the second(dependent) variable.
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| Range of a Function | The set of values of the dependent variable that can result from the substitutions for the independent variable.
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| Domain of a function | the set of values which are allowable substitutions for the independent variable
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| How is f(x) read? | "f of x"
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| How is T:x--> x read? | "T maps x onto x." (arrow notation)
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| Theorem (Vertical-Line Test for Functions) | No vertical line intersects the graph of a function in more than one point.
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| How do you "clear" an equation of fractions? | Multiply each side of the equation by a common multiple of the denominator.
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| How do you simplify equation d= rt? | multiply both sides by r. d/r = rt/r. Simplify d/r = t.
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| What is an explicit formula for the nth term of the sequence 1, 3, 6, 10, 15, 21, . . . ? | t(n) = n(n+1)/2
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| What does a recursive formula state? | a. The first term
b. tells how the nth term is related to one or more of the previous terms.
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| What are explicit formulas good for that recursive formulas are not? | Explicit formulas help to find an answer for a large integer.
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| What are recursive formulas good for that explicit formulas are not? | Recursive formulas help to find a series of numbers.
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Created by:
katelesperance
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