Question | Answer |
variable | symbol that can be replaced by any member of a set of numbers or objects |
algebraic expression | The result when numbers and variables are combined using the operations of arithmetic. |
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. |
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) |
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. |
Range of a Function | The set of values of the dependent variable that can result from the substitutions for the independent variable. |
Domain of a function | the set of values which are allowable substitutions for the independent variable |
How is f(x) read? | "f of x" |
How is T:x--> x read? | "T maps x onto x." (arrow notation) |
Theorem (Vertical-Line Test for Functions) | No vertical line intersects the graph of a function in more than one point. |
How do you "clear" an equation of fractions? | Multiply each side of the equation by a common multiple of the denominator. |
How do you simplify equation d= rt? | multiply both sides by r. d/r = rt/r. Simplify d/r = t. |
What is an explicit formula for the nth term of the sequence 1, 3, 6, 10, 15, 21, . . . ? | t(n) = n(n+1)/2 |
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. |
What are explicit formulas good for that recursive formulas are not? | Explicit formulas help to find an answer for a large integer. |
What are recursive formulas good for that explicit formulas are not? | Recursive formulas help to find a series of numbers. |