Chapter 5 Quiz: Exponential & Logarithmic Functions

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  • 1/10 Questions
    Simplify - ProProfs

    Simplify

    • 4x^3/y
    • 4x/y
    • X^3y/4
    • 4y/x^3
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About This Quiz

This Chapter 5 Quiz assesses understanding of Exponential & Logarithmic Functions, focusing on simplification, graph analysis, and real-world application modeling with exponential growth, specifically through iPad sales data analysis.

Chapter 5 Quiz: Exponential & Logarithmic Functions - Quiz

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  • 2. 
    Solve for x:  - ProProfs

    Solve for x: 

    • 3

    • 1.442

    • 0.815

    • 2

    Correct Answer
    A. 2
  • 3. 
    Solve for x:  - ProProfs

    Solve for x: 

    • 20

    • 100

    • 1000

    • 26.853

    Correct Answer
    A. 100
  • 4. 
    Rewrite  as a single logarithm. Answer Choices: A.  B.  C.  D.  - ProProfs

    Rewrite  as a single logarithm. Answer Choices: A.  B.  C.  D. 

    • A

    • B

    • C

    • D

    Correct Answer
    A. C
  • 5. 
    Simplify - ProProfs

    Simplify

    • X^32

    • X^4

    • X^-4

    • X^12

    Correct Answer
    A. X^12
    Explanation
    When multiplying variables with exponents, you add the exponents together. In this case, x^32 * x^4 * x^-4 * x^12 can be simplified by adding the exponents: 32 + 4 - 4 + 12 = 44. Therefore, the answer is x^44.

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  • 6. 
    Simplify - ProProfs

    Simplify

    • -9x^6y^3

    • 9x^5y^2

    • 9x^6y^2

    • -9x^5y^2

    Correct Answer
    A. 9x^6y^2
    Explanation
    To simplify the given expression, we need to combine like terms. The negative sign in front of -9x^6y^3 indicates that the term is negative. When we divide -9x^6y^3 by 9x^5y^2, we get -x. Since the exponents of x and y are the same in both terms, we can subtract the exponents and keep the base. Therefore, the simplified expression is -x. However, the given answer is 9x^6y^2, which is incorrect.

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  • 7. 
    Consider the graph of the function , how will  affect the graph? - ProProfs

    Consider the graph of the function , how will  affect the graph?

    • Shift 3 left and 2 up

    • Shift 3 right and 2 up

    • Shift 3 up and 2 right

    • Shift 3 down and 2 right

    Correct Answer
    A. Shift 3 right and 2 up
    Explanation
    When we shift the graph 3 units to the right, all the x-coordinates of the points on the graph will increase by 3. This means that the entire graph will move horizontally to the right. Additionally, when we shift the graph 2 units up, all the y-coordinates of the points on the graph will increase by 2. This means that the entire graph will move vertically upwards. Therefore, the correct answer is to shift the graph 3 units to the right and 2 units up.

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  • 8. 
    Life Span  Based on data from 1920 and projected to 2020, the expected life span of people in the United States can be described by the function , where x is the number of years from 1900 to the person's birth year.  Estimate the life span for someone born in 2008. - ProProfs

    Life Span  Based on data from 1920 and projected to 2020, the expected life span of people in the United States can be described by the function , where x is the number of years from 1900 to the person's birth year.  Estimate the life span for someone born in 2008.

    • 120 years

    • 6 years

    • 78 years

    • 80 years

    Correct Answer
    A. 78 years
    Explanation
    Based on the given function, the life span of people in the United States is described by the equation. Since the question asks for an estimate of the life span for someone born in 2008, we need to find the value of the function when x is equal to 108 (2008 - 1900). Therefore, the estimated life span for someone born in 2008 is 78 years.

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  • 9. 
    Sales of IPads  The iPad has become the most quickly adopted nonphone consumer electronics product in history, topping the DVD player.  Apple sole over 300,000 ipads in its first day and took just 28 days to reach 1 million units sold.  Sales of the iPad can be modeled by , where x is the number of months after April 1,  2010 and y is the number of millions of iPads sold.  According to this model, how many iPads would be sold by August 2011? - ProProfs

    Sales of IPads  The iPad has become the most quickly adopted nonphone consumer electronics product in history, topping the DVD player.  Apple sole over 300,000 ipads in its first day and took just 28 days to reach 1 million units sold.  Sales of the iPad can be modeled by , where x is the number of months after April 1,  2010 and y is the number of millions of iPads sold.  According to this model, how many iPads would be sold by August 2011?

    • 324 million

    • 473 million

    • 13 million

    • 14.5 million

    Correct Answer
    A. 324 million
  • 10. 
    Solve for x:  - ProProfs

    Solve for x: 

    • 1/3

    • 3

    • 1/9

    • 27

    Correct Answer
    A. 1/3
    Explanation
    The given answer, 1/3, is the correct solution for the equation. By dividing 1 by 3, we get the value of x as 1/3.

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  • Current Version
  • May 12, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Jun 27, 2013
    Quiz Created by
    Sajones7668
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