Week 8 Day 2

WEEK 8 Day 1 Page 278

8.1 INTEGRAL EXPONENTS page 278 In Chapter 1, the laws of exponents were discussed in terms of positive exponents.

Laws 1 and 3 are most often confused with each other.

Law 3 and 5 are much alike.

Law 5 a/b Law 2 a/a

page 279

Know that a negative exponent does not mean a negative number.

page 279 Result as a positive exponent.

page 279 Find each quotient and write the result using positive exponents.

page 280 Be careful of the sign values. Use parentheses.

page 280 Subtraction

Wrong

8.2 FRACTIONAL EXPONENTS page 281

SECTION 8.2 Fractional Exponents 281

Calculators

Calculator

9.1 The Exponential Function 9.2 The Logarithm

9.1 THE EXPONENTIAL FUNCTION page 305

Functional Notation chapter 4 page 147

9.2 page 308 The inverses of an exponential function is called a logarithm.

9.2 THE LOGARITHM page 308 A logarithm answers the question: "How many of one number do we multiply to get another number?“ How many 2s need to be multiplied to get 8?

9.2 THE LOGARITHM page 308 How many 2s need to be multiplied to get 8? We say the logarithm of 8 with base 2 is 3 log 2 (8) = 3

9.2 THE LOGARITHM page 308 Map it out, draw arrows, color code it, say out as a sentence, whatever works.

9.2 THE LOGARITHM page 308

Review

X Y

The following is not on the test.

page The Trigonometric Functions 10.2 Trigonometric Functions of Any Angle 10.3 Radian Measure 10.4 Use of Radian Measure

Page 347 An angle in Standard position has its vertex located at the origin and its initial side located on the positive x axis.

Vertex at the origin.

An angle resulting from a counterclockwise rotation, as indicated by the direction of the arrow, is a positive angle. If the rotation is clockwise, the angle is negative

Page 348 Coterminal Angles have the same initial and terminal sides.

Chapter 10 page 349

Chapter 3 page 119

abscissa: the horizontal coordinate of a point in a plane Cartesian coordinate system obtained by measuring parallel to the x-axis. ordinate: the Cartesian coordinate obtained by measuring parallel to the y-axis

of P Point of plotted x, y pair.

The side opposite the angle.

r

10.1 THE TRIGONOMETRIC FUNCTIONS page 350 (x, y) (2, 3) r = 3.6

10.1 THE TRIGONOMETRIC FUNCTIONS page 350 (x, y) (2, 3) r = 3.6

10.1 THE TRIGONOMETRIC FUNCTIONS page 353 A quadrantal angle is one which, when in standard position, has its terminal side coinciding with one of the axes.

10.1 THE TRIGONOMETRIC FUNCTIONS page 353

10.2 TRIGONOMETRIC FUNCTIONS OF ANY ANGLE page 354 You can do the math or use a protractor.

x, y

10.3 RADIAN MEASURE page 360 A radian is the measure of an angle with its vertex at the center of a circle whose intercepted arc is equal in length to the radius of the circle. Ok.

10.3 RADIAN MEASURE page 360 The unit radian has no physical dimensions it is the ratio of two lengths. You can covert radians to degrees or degrees to radians but not to feet, meters etc.

π relates a straight line to a circle. If a shape does not have this ratio of radius to circumference it is NOT a circle.

2 π radians is a complete circle (one complete revolution). Page 360

The authors use π over 180 times radians

Degrees to Radians: x Degrees = Radians Radians to Degrees: x Radians = Degrees

π x = 180