Math 220 Quiz 2 Fall 2011: Exponential Functions and Logarithms - Prof. Robert F. Murphy, Quizzes of Calculus

A math quiz for math 220 (section unknown) from fall 2011. The quiz covers topics such as determining a formula for an exponential function, solving equations involving logarithms, and finding the inverse function of a given logarithmic function. No calculators are allowed and sufficient work must be shown for each answer. The quiz consists of 4 questions and lasts for 15 minutes.

Typology: Quizzes

2010/2011

Uploaded on 10/13/2011

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Math 220 (section ???) Quiz 2 Fall 2011
Name
No calculators allowed.
Show sufficient work to justify each answer.
You have 15 minutes for this quiz.
1. (3 points) Determine a formula for an exponential function given that its graph goes through
the points (5,80), (0,20) and (5,5).
pf2

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Math 220 (section ???) Quiz 2 Fall 2011

Name

  • No calculators allowed.
  • Show sufficient work to justify each answer.
  • You have 15 minutes for this quiz.
  1. (3 points) Determine a formula for an exponential function given that its graph goes through

the points (− 5 , 80), (0, 20) and (5, 5).

  1. (3 points) Solve for x in the equation below.

x = e

1+ln (1−x)

  1. (3 points) Given that g(x) = ln

( 4 +

x

) , find a formula for g

− 1 (x).

  1. (1 point) Suppose that f is a one-to-one function which takes on the following values.

f (−3) = 8, f (−2) = 3, f (−1) = 1/ 3 , f (0) = − 1 / 3 , f (1) = − 3 , f (2) = − 4 , f (3) = − 11

What is the value of f

− 1 (3)?