Lecture 6: Problem sesion and quiz

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Assignment

1.6        Inverse Functions and   1-9, 19-21, 27-30,      1/30              
           Logarithms              48-52                                     

1.7        Models and Curve        1                       1/30              
           Fitting                                                           

Chapter 1  review problems         1-4,7-8, 10-11, pages   1/30              
                                   92-3                                      

Quiz

Find a symbolic representation for the function whose graph

• is the reflection of the graph of y=e^{2x} about the y-axis
• is the reflection of the graph of y=e^{3x} about the x-axis

Material Left from Math 1100 Lecture

What is a polynomial?

Example : x² - xy²z+10 has 3 variables and degree 4

• Multiplication of polynomials was discussed, both from the algebraic and geometric viewpoints.

1. Example : (x-2)(x²-3x+5)=x³-5x²+11x-10

• Decimals were defined as a sum of multiples of powers of ten.

1. Example : 401.03= 4 × 10 ² + 1 × 10 ° + 3 × 10 ¯ ²

• Polynomials were defined as a sum of multiples of powers of a variable.

1. Example : 4x²+3x+9

• The following table shows how polynomials are often classified by their degree:

• Degree	Symbolic representation	Common representation	Name	Maximum # of zeros
  0	a0	c	constant	none
  1	a1x+a0	mx+b	linear	1
  2	a2x2+a1x+a0	ax2+bx+c	quadratic	2
  3	a3x3+a2x2+a1x+a0	none	cubic	3
  4	as expected	none	quartic	4

  
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