Paper Topic:

Exponential and Logarithmic Functions

MTH133

Unit 5 Individual Project - A

Name : Terri Woodard

1 ) Find the domain of the following Answer : All real number

Explain how you obtained your answer here , the value of t will be any real number (positive or negative Therefore , the domain (value of t ) will be any real number Answer : x -3

Show your work or explain how you obtained your answer here

Since , the function is of f (x ln (x ) form , therefore , the value of (x 3 ) should be greater than 0

x 3 0 ( x -3

br Answer : All real number

Explain how you obtained your answer here , the value of x will be any real number (positive or negative Therefore , the domain (value of x ) will be any real number Answer : t 1

Show your work or explain how you obtained your answer here

Since , the function is of f (x ln (x ) form , therefore , the value of (t-1 ) should be greater than 0

t-1 0 ( t 1 . State the placement of the horizontal asymptote and y-intercept after the transformation . For example , left 1 or rotated about the y-axis are s of transformation : the curve will move up by 2 point on y-axis

Horizontal asymptote : y 2

y-intercept in (x , y ) form (0 , 3 1 2 1

Horizontal asymptote : x-axis (y 0

y-intercept in (x , y ) form (0 , -1 -1 . State the placement of the vertical asymptote and x-intercept after the transformation . For example , left 1 or stretched vertically by a factor of 2 are s of transformation : The curve will move right by 3

Vertical asymptote : x 3

x-intercept in (x , y ) form (4 , 0 (0 log (x -3 ( x - 3 1 ( x 4

Vertical asymptote : x 0

x-intercept in (x , y ) form (-1 , 0 (0 log (-x (-x 1 ( x -1

4 ) The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit ) is given by A is the amount of the return

P is the principal amount initially deposited

r is the annual interest rate (expressed as a decimal

n is the number of compound periods in one year

t is the number of years

Carry all calculations to six decimals on each intermediate step , then round the final answer to the nearest cent

Suppose you deposit 2 ,000 for 5 years at a rate of 8

a ) Calculate the return (A ) if the bank compounds annually (n 1 Round your answer to the hundredth 's place

FILLIN "Text1 " Answer : the return (A ) will be approximately 2938 .66

FILLIN "Text2 " Show work in this space . Use ^ to indicate the power or use the Equation Editor in MS Word

P 2 ,000 , t 5 years , n 1 , and r 0 .08 2938 .66

b ) Calculate the return (A ) if the bank compounds quarterly (n 4 Round your answer to the hundredth 's place

FILLIN "Text1 " Answer : the return (A ) will be approximately 2971 .89

FILLIN "Text2 " Show work in this...

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