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Daily Check

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1) Write the transformations applied to y = 2x for the following equation. y = 2x+5 3 2) Graph y = 2x-1 Math II UNIT QUESTION: How is a geometric sequence like an ... – PowerPoint PPT presentation

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Title: Daily Check


1
Daily Check
  • 1) Write the transformations applied to y 2x
    for the following equation.
  • y 2x5 3
  • 2) Graph y 2x-1

2
Math II
UNIT QUESTION How is a geometric sequence like
an exponential function? Standard MM2A2 Todays
Question How do you solve exponential equations
and inequalities? Standard MM2A2d
3
4.6 Solving Exponential Equations and Inequalities
  • Page 128 - 131

4
Solving Exponential Equations
We know that in exponential functions the
exponent is a variable.
When we wish to solve for that variable we have
two approaches we can take. One approach is to
use a logarithm. The second is to make use of
the Equality Property for Exponential Functions.
5
  • The Equality Property for Exponential
  • Functions

Basically, this states that if the bases are the
same, then we can simply set the exponents equal.
This property is quite useful when we are
trying to solve equations involving exponential
functions. Lets try a few examples to see how
it works.
6
Example 1
(Since the bases are the same we simply set the
exponents equal.)
Here is another example for you to try
Example 1a
7
The next problem is what to do when the bases are
not the same.
Does anyone have an idea how we might approach
this?
8
Our strategy here is to rewrite the bases so that
they are both the same. Here for example, we know
that
9
Example 2 (Lets solve it now)
(our bases are now the same so simply set the
exponents equal)
Lets try another one of these.
10
Example 3
11
Practice 1
12
Practice 2
13
  • Solve by Graphing

14
  • Solve by Graphing

15
  • Class work and Homework Day 1

CW Workbook Page 144 1-6
HW Textbook Page 131 1-9
16
  • Homework

Page 130 1-22 (even or odd) and 23
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