Review of Chapter 8

Graphing Exponential Functions: Make and table and graph the function for the domain {0, 1, 2, 3} Plug in 0, 1, 2, and 3 in for x. Solve for y.

Graphing Exponential Functions: Make and table and graph the function for the domain {0, 1, 2, 3} Each row in the table is a point on the graph. xy

Exponential Growth: The initial amount is a. Base is the growth factor. It is 1 + percent increase. The population is 100 people and it grows 24.5% each year for 5 years. Model with an equation and solve.

Exponential Decay: The initial amount is a. Base is the growth factor. It is 1 - percent increase. The population is 1000 people and it decreases 12.5% each year for 5 years. Model with an equation and solve. 12.5% =.875

Compound Interest If you invest $500 into a bank account that gets 3% compounded monthly, what is your balance after 20 years? A= Amount you have now. P = Principle (start with) = 500 r = rate = 3% n = number times compounded = 12 t = time = 20 years

Negative and Zero Exponents If a power is raised to an exponent of zero: 1 If a power is raised to a negative exponent: 1 Notice: All the exponents are now positive. If a factor has a positive exponent, don’t move it.

Scientific Notation To put a number into scientific notation: place a decimal point to make a number between 1 and 10. The number of digits between the original and new decimal points is the exponent (base is always 10.) 520,000 A decimal here makes a number between 1 and 10. The decimal point was moved 5 digits.

Scientific Notation To put a number into standard notation: move the decimal place over the same number of times as the exponent Negative exponents means the number is small. Positive exponents means the number is large.

Multiplication/Division and Scientific Notation Multiply the significant digits (6 and 4.2) If the number is larger than 10, move the decimal place and add one to the exponent.

Multiplication/Division and Scientific Notation Multiply the significant digits. (1.3 and 4.2) Multiply the bases *Add the exponents

Powers To raise a power to a power: multiply! If there are multiple factors, raise each one to that exponent. If there is no evident exponent, use 1. 1 x 4 = 4