Test #7
7.1
1. Monomial- A number, a variable, or a product of a number and one or more variables.
2. Constant- A monomial that is a real number.
7-2
3. Zero Exponent- For any nonzero number a, a^0=1. Any nonzero number raised to the zero power is equal to 1.
4. Negative Exponent- For any real number a≠0 and any integer n, and any integer n, a^-n=1/a^n and 1/a^-n=a^n
5. Order of Magnitude- The order of magnitude of a quantity is the number rounded to the nearest power of 10.
7-3
6. Rational Exponents- For any positive real number b and any integers m and n>1, .
7. Cube Root- If a^3=b, then a is the cube root of b.
8. nth Root- If a^n=b for a positive integer n, then a is an nth root of b.
9. Exponential Equation- An equation in which he variable occur as exponents.
7-4
10. Scientific Notation- A number in scientific notation is expressed as a·10n, where 1≤a<10 and n is an integer.
7-5
11. Exponential Function- A function that can be described by an equation of the form y=ax, where a<0 and a≠1
12. Exponential Growth Functions- When an initial amount increases by the same percent over a given period of time.
13. Exponential Decay Functions- When an initial amount decreases by the same percent over a given period of time.
7-6
14. Compound Interest- A special application of exponential growth involving money.
7-7
15. Geometric Sequence- A sequence in which each term after the first is found by multiplying the previous term by a constant r, called the common ration.
16. Common Ratio- The ratio of successive terms of a geometric sequence.
7-8
17. Recursive Formula- Each term is formulated from one or more previous terms.
7.1
1. Monomial- A number, a variable, or a product of a number and one or more variables.
2. Constant- A monomial that is a real number.
7-2
3. Zero Exponent- For any nonzero number a, a^0=1. Any nonzero number raised to the zero power is equal to 1.
4. Negative Exponent- For any real number a≠0 and any integer n, and any integer n, a^-n=1/a^n and 1/a^-n=a^n
5. Order of Magnitude- The order of magnitude of a quantity is the number rounded to the nearest power of 10.
7-3
6. Rational Exponents- For any positive real number b and any integers m and n>1, .
7. Cube Root- If a^3=b, then a is the cube root of b.
8. nth Root- If a^n=b for a positive integer n, then a is an nth root of b.
9. Exponential Equation- An equation in which he variable occur as exponents.
7-4
10. Scientific Notation- A number in scientific notation is expressed as a·10n, where 1≤a<10 and n is an integer.
7-5
11. Exponential Function- A function that can be described by an equation of the form y=ax, where a<0 and a≠1
12. Exponential Growth Functions- When an initial amount increases by the same percent over a given period of time.
13. Exponential Decay Functions- When an initial amount decreases by the same percent over a given period of time.
7-6
14. Compound Interest- A special application of exponential growth involving money.
7-7
15. Geometric Sequence- A sequence in which each term after the first is found by multiplying the previous term by a constant r, called the common ration.
16. Common Ratio- The ratio of successive terms of a geometric sequence.
7-8
17. Recursive Formula- Each term is formulated from one or more previous terms.