Simplify

Madi

Index LawsLog laws

Change of base

In order to evaluate a non-standard-base log, you have to use the Change-of-Base formula:

Evaluate using the change of base rule

Questions.

• 5C Q1 d,f,I• 5D Q1 d,f

Q2 d,f,hQ5 e

Graph

Exponentials

c Translates vertically, horizontal asymptote y=c

b Translates horizontally

A Dilates by a factor of A parallel to the y axis

k Dilates by a factor of 1/k parallel to the x axis

f(-1) =1/af(0) = 1f(1) = athe domain is Rthe range is R+

-the graph reflected in the y axis is y= -The graph reflected in the x axis is y=

Logarithms

• f(1) = 0• f(a) = 1• Max domain is R+• Range is R• One to one function

c Translates the graph vertically

b Translated the graph horizontally

A Dilates the graph by a factor of A from the x axis

k Dilates the graph by a factor of 1/k from the y axis

(-x) reflects the original in the y axis-log…. Reflects the original in the x axis

Questions

• Chapter 5 reviewQ1 b,c,f,h

Sine and Cosinehttp://www.intmath.com/Trigonometric-graphs/1_Graphs-sine-cosine-amplitude.php

Sine Cos

Amplitude A A

Period 2∏/n 2∏/n

Translation – x axis h h

Translation – y axis k k

Tangent

Sine Cosine Tangent

Amplitude A A n/a

Period 2∏/n 2∏/n ∏/ n

Translation – x axis h h h

Translation – y axis k k k

Vertical asymptotes n/a n/a

Questions

Chapter 6 reviewShort answer Q2 c,f

Q3Q4 b,d,f

Extended response Q6