# Math 30-2 (Alberta) Help & Practice

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##### 1Rational Expressions

##### 2Reciprocal Functions

##### 3Polynomial Functions

- 3.1What is a polynomial function?
- 3.2Polynomial long division
- 3.3Polynomial synthetic division
- 3.4Remainder theorem
- 3.5Factor theorem
- 3.6Rational zero theorem
- 3.7Characteristics of polynomial graphs
- 3.8Multiplicities of polynomials
- 3.9Imaginary zeros of polynomials
- 3.10Determining the equation of a polynomial function
- 3.11Applications of polynomial functions
- 3.12Solving polynomial inequalities
- 3.13Fundamental theorem of algebra
- 3.14Descartes' rule of signs

- 3.1What is a polynomial function?
##### 4Exponential Functions

- 4.1Exponents: Product rule
*(a^x)(a^y) = a^(x+y)* - 4.2Exponents: Division rule (a^x / a^y) = a^(x-y)
- 4.3Exponents: Power rule
*(a^x)^y = a^(x * y)* - 4.4Exponents: Negative exponents
- 4.5Exponents: Zero exponent:
*a^0 = 1* - 4.6Exponents: Rational exponents
- 4.7Solving exponential equations using exponent rules
- 4.8Graphing exponential functions
- 4.9Graphing transformations of exponential functions
- 4.10Finding an exponential function given its graph

- 4.1Exponents: Product rule
##### 5Logarithmic Functions

- 5.1What is a logarithm?
- 5.2Converting from logarithmic form to exponential form
- 5.3Evaluating logarithms without a calculator
- 5.4Common logarithms
- 5.5Natural log: ln
- 5.6Evaluating logarithms using change-of-base formula
- 5.7Converting from exponential form to logarithmic form
- 5.8Solving exponential equations with logarithms
- 5.9Product rule of logarithms
- 5.10Quotient rule of logarithms
- 5.11Combining product rule and quotient rule in logarithms
- 5.12Evaluating logarithms using logarithm rules
- 5.13Solving logarithmic equations
- 5.14Graphing logarithmic functions
- 5.15Finding a logarithmic function given its graph

- 5.1What is a logarithm?
##### 6Applications of Exponential and Logarithmic Functions

- 6.1Exponential growth and decay by a factor
- 6.2Exponential decay: Half-life
- 6.3Exponential growth and decay by percentage
- 6.4Finance: Compound interest
- 6.5Continuous growth and decay
- 6.6Logarithmic scale: Richter scale (earthquake)
- 6.7Logarithmic scale: pH scale
- 6.8Logarithmic scale: dB scale
- 6.9Finance: Future value and present value

- 6.1Exponential growth and decay by a factor
##### 7Data Collection

##### 8Permutations and Combinations

##### 9Probability

##### 10Scatter Plots and Best Fit Line