1.6 & 1.7 Quick Overview

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

Exponent Rulesx 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 =

1

1

1

1

1

1 / x n

1 / 1,000 2 =

1/1,000,0001 / π 3

1 / 4.517

(3/2)2 =9/4

Exponent Rules

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

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}

-4 -3 -2 -1 0 1 2 3 4

-4

-3

-2

-1

0

1

2

3

4

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}

-4 -3 -2 -1 0 1 2 3 4

-4

-3

-2

-1

0

1

2

3

4

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

-4 -3 -2 -1 0 1 2 3 4

-4

-3

-2

-1

0

1

2

3

4

Homework

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