1.6 & 1.7 Quick Overview

1. 1.6 & 1.7 Quick Overview

2. Exponents x4 = -2x4 = -(2x)4 = (-2x)4 = x * x * x * x -2 * x * x * x * x - (2x) * (2x) * (2x) * (2x) = -2x * -2x * -2x * -2x = -16x4 16x4

3. Exponent Rules 1 1 1 1 1 1 / x n 1 / 1,000 2 = 1/1,000,000 1 / π3 1 / 4.517 (3/2)2 = x 0 = x -n = 1,000 0 = 1,000 -2 = π 0 = π -3 = 4.517 0 = 4.517 -1 = (2/3) 0 = (2/3) -2 = 9/4

4. Exponent Rules

5. Exponent Rules • The base must be the same to combine (x, y, etc.) • Follow order of operations: P… E… MD… AS • Add exponents when multiplying • Subtract the exponents when dividing • Multiply when you have an exponent of an exp. • Anything (except 0) to the zero power = 1 • Negative exponents means move it from the numerator to denominator or vice-versa

6. What is Domain? • The domain is all the numbers that x can be. • What is the domain of each of the following lines? D: {-3, -1, 1, 3} D: {-1 ≤ x ≤ 3} D: {-3 ≤ x ≤ 1, x = 3}

7. What is Range? • The range is all the numbers that y can be. • What is the range of each of the following lines? R: {0, 1, 3} R: {-2 ≤ y ≤ 2} R: {-3 ≤ y ≤ 1, y = 2}

8. What is the Domain & Range? • D: {-3 ≤ x < 2, 2 < x ≤ 3} • R: {y = -3, -2 < y ≤ 3}

9. Homework • Pg. 75 # 2-7 • Pg. 87 # 1-14, 16-28even