Today, you will be able to Evaluate Exponential Expressions
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