# GENERAL MATHEMATICS

Get Started. It's Free GENERAL MATHEMATICS ## 1. DOMAIN AND RANGE

### 1.6. To get the horizontal asymptote, look at the degrees of the leading coefficients of both the numerator and denominator

1.6.1. If n=m, the h.a. is the quotient of the leading numerical coefficient of the numerator and denominator

1.6.2. If n>m, then there is no asymptote

1.6.3. If n<m, the the h.a. is 0

## 2. LOGARITHMIC FUNCTIONS

### 2.1. Rules:

2.1.1. 1. logb(x) = b(x)

2.1.2. 2. The subscript of log will be the base to the exponent in the other side of the equation and the original base of that side will now be the exponent to the subscript to get similar bases

2.1.3. 3. Follow rules of exponential functions but on the side of the equation with no log, instead of completely removing the base, solve the equation if possible

## 3. EXPONENTIAL FUNCTIONS

### 3.1. Rules

3.1.1. 1. If bases are not common, find one whose base can be reduced or increased to have a similar base and adjust its exponents accordingly

3.1.2. 2. Once bases are similar, you can now look for the value(s) of 'x' in the exponent by removing the bases and equating the exponents together.

3.1.3. 3. Simplify or get the zeroes of the equation which also serves as the values of 'x'

### 3.2. Example

3.2.1. 2^x+1 = 32

3.2.2. 2^x+1 = 2^5

3.2.3. x+1 = 5

3.2.4. x = 5-1

3.2.5. x = 4

### 4.1. SIMPLE INTEREST

4.1.1. I = Prt ; F = P(1+rt) ; P = I/rt

### 4.2. COMPOUND INTEREST

4.2.1. F = P(1 + j/m)^n

### 4.3. SIMPLE ANNUITY

4.3.1. F = R(1 = j/m)^tm