Exponents
Today, you will be able to Evaluate Exponential Expressions
Write the following definitions in your math journal.
Write the following definitions in your math journal.
Exponent
The exponent of a number shows you how many times the number is to be used in a multiplication.
It is written as a small number to the right and above the base number. In this example: 82 = 8 × 8 = 64 (Another name for exponent is index or power) Function
A function is a special relationship between values: Each of its input values gives back exactly one output value.
It is often written as "f(x)" where x is the value you give it. Example: f(x) = x/2 ("f of x is x divided by 2") is a function, because for every value of "x" you get another value "x/2", so: * f(2) = 1 * f(16) = 8 * f(-10) = -5 Evaluate
To calculate the value of.
Example: Evaluate the cost of each pie if 3 pies cost $6. Answer: $2 each. Expression
Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.
Example 2×3 is an expression Substitution
In Algebra "Substitution" means putting numbers where the letters are:
Example: If x=5, then what is x + 10/x ? Put "5" where "x" is: 5 + 10/5 = 7 |
Set
A collection of "things" (objects or numbers, etc).
Each member is called an element of the set. There should be only one of each member (all members are unique). Here is a set of clothing items. Another Example: {1,2,3,4} is the set of counting numbers less than 5 Domain of a function
All the values that go into a function
The output values are called the range. Domain -> function -> Range Example: if the function f(x) = x2 is given the values x = {1,2,3,...} then {1,2,3,...} is the domain. Graph
A diagram of values, usually shown as lines or bars.
Order of Operations
The rules of which calculation comes first in an expression
They are: . do everything inside parentheses first: () . then do exponents, like x2 . then do multiplies and divides from left to right . lastly do the adds and subtracts from left to right Example: 5 × (3 + 4) - 2 × 8 = 5 × 7 - 2 × 8 = 35 - 16 = 19 |