Quiz #1: Evaluating & Determining Functions

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| By Maxgardner8
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Maxgardner8
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Quizzes Created: 1 | Total Attempts: 103
| Attempts: 103
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  • 1/25 Questions

    Looking at the sequence , how many dots will be in the next image?

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About This Quiz

Quiz #1: Evaluating & Determining Functions tests understanding of function values and types. It covers calculating specific function outputs, identifying non-functions, and determining function categories, enhancing algebraic skills.

Quiz #1: Evaluating & Determining Functions - Quiz

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  • 2. 
    What kind of function is this? - ProProfs

    What kind of function is this?

    • Linear

    • Quadratic

    • Exponential

    • Logarithmic

    Correct Answer
    A. Linear
    Explanation
    This function is linear because it represents a straight line when plotted on a graph. A linear function has a constant rate of change and can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

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  • 3. 
       - ProProfs

      

    Correct Answer
    28
  • 4. 
      - ProProfs

     

    Correct Answer
    21
  • 5. 
    Using the graph, calculate f(4) / g(-4) ( / means to divide) - ProProfs

    Using the graph, calculate f(4) / g(-4) ( / means to divide)

    Correct Answer
    -2
    Explanation
    To calculate f(4), we find the value on the y-axis corresponding to x=4 on the graph. Similarly, to calculate g(-4), we find the value on the y-axis corresponding to x=-4 on the graph. Dividing f(4) by g(-4) gives us the result. In this case, when we substitute the values into the equation, we get -2. Therefore, the answer is -2.

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  • 6. 

    X12345f(x)-2381318What is the recursive rule in the table above?

    • T(n) = t(n-1) +7

    • T(n) = 5t(n-1)

    • T(n) = t(n-1) -2

    • T(n) = t(n-1) +5

    • T(n) = t(n-1) -5

    Correct Answer
    A. T(n) = t(n-1) +5
    Explanation
    The recursive rule in the table above is t(n) = t(n-1) +5. This means that each term in the sequence is obtained by adding 5 to the previous term.

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  • 7. 
    Use the graph to calculate:  f(2) + f(0) =  - ProProfs

    Use the graph to calculate:  f(2) + f(0) = 

    Correct Answer
    5
    Explanation
    The graph shows the values of the function f(x) at x=0 and x=2. From the graph, we can see that f(2) = 3 and f(0) = 2. Adding these values together, we get 3 + 2 = 5, which matches the given answer.

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  • 8. 

    Consider the following equationsf(x)=2x-9g(x)=10-3xWhat is  f(3)+g(5)

    • -5

    • -3

    • 5

    • -8

    Correct Answer
    A. -8
    Explanation
    To find f(3), substitute x = 3 into the equation f(x) = 2x - 9. This gives f(3) = 2(3) - 9 = 6 - 9 = -3. Similarly, to find g(5), substitute x = 5 into the equation g(x) = 10 - 3x. This gives g(5) = 10 - 3(5) = 10 - 15 = -5. Finally, adding f(3) and g(5) gives -3 + (-5) = -8. Therefore, the correct answer is -8.

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  • 9. 
    The following function describes bacteria growth in a kitchen sponge over time.  What kind of function is this?   - ProProfs

    The following function describes bacteria growth in a kitchen sponge over time.  What kind of function is this?  

    • Linear

    • Quadratic

    • Exponential

    • Logarithmic

    Correct Answer
    A. Exponential
    Explanation
    The given function describes bacteria growth in a kitchen sponge over time. Exponential functions are characterized by a constant rate of change, where the output value increases or decreases exponentially as the input value increases or decreases. In the context of bacteria growth, exponential functions are commonly used because bacteria tend to multiply rapidly under favorable conditions. Therefore, the given function is likely exponential as it represents the growth of bacteria in the kitchen sponge over time.

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  • 10. 
      - ProProfs

     

    • 1

    • 2

    • 3

    • 4

    • 5

    Correct Answer
    A. 4
  • 11. 
    What is the value of f(3) in this function? - ProProfs

    What is the value of f(3) in this function?

    • -1

    • 1

    • 2

    • 3

    Correct Answer
    A. 2
    Explanation
    The value of f(3) in this function is 2.

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  • 12. 
    What is the value of x when f(x)=-4? - ProProfs

    What is the value of x when f(x)=-4?

    • X= -1/2

    • X= -2

    • X= 0

    • X= -4

    Correct Answer
    A. X= -2
    Explanation
    The value of x when f(x)=-4 is x=-2. This means that when the function f is evaluated at x=-2, the result is -4.

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  • 13. 
    What kind of function is this? - ProProfs

    What kind of function is this?

    • Linear

    • Quadratic

    • Exponential

    • Logarithmic

    Correct Answer
    A. Quadratic
    Explanation
    This function is quadratic because it has the form of a quadratic equation, which is a polynomial of degree 2. A quadratic function is characterized by having a variable raised to the power of 2, and it typically graphs as a parabola.

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  • 14. 

    Consider the following functionsf(x)=2x-9g(x)=10-3xWhat is  f(10)-g(1)

    • -4

    • 2

    • 4

    • 8

    Correct Answer
    A. 4
    Explanation
    To find the value of f(10), we substitute x=10 into the function f(x)=2x-9. This gives us f(10)=2(10)-9=11. Similarly, to find the value of g(1), we substitute x=1 into the function g(x)=10-3x. This gives us g(1)=10-3(1)=7. Finally, to find f(10)-g(1), we subtract the value of g(1) from the value of f(10). This gives us 11-7=4. Therefore, the answer is 4.

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  • 15. 
    True or False: this is a function  - ProProfs

    True or False: this is a function 

    • True

    • False

    Correct Answer
    A. False
    Explanation
    The given answer is "False". This suggests that the statement "this is a function" is not true. Therefore, the correct answer is "False".

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  • 16. 

    Consider the following functionsf(x)=2x-9g(x)=10-3xWhat is  f(g(7)) ?

    • -30

    • -21

    • 10

    • 7

    Correct Answer
    A. -30
    Explanation
    To find f(g(7)), we need to substitute the value of g(7) into the function f(x).
    First, we find the value of g(7) by substituting 7 into the function g(x):
    g(7) = 10 - 3(7) = 10 - 21 = -11.
    Then, we substitute -11 into the function f(x):
    f(-11) = 2(-11) - 9 = -22 - 9 = -30.
    Therefore, the correct answer is -30.

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  • 17. 
      - ProProfs

     

    • -13

    • 5

    • 105

    • 119

    • 131

    Correct Answer
    A. 105
    Explanation
    The given sequence is increasing by 18 each time. Starting from -13, we add 18 to get 5, then add 18 again to get 23, and so on. Therefore, the next number in the sequence would be 105.

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  • 18. 
    Use the graph to evaluate ​g(4) + f(-5) - ProProfs

    Use the graph to evaluate ​g(4) + f(-5)

    • 13

    • -10

    • 3

    • 5

    • 1

    Correct Answer
    A. 1
  • 19. 
      - ProProfs

     

    • 7.33

    • 23

    • 8.5

    • 3

    • 21

    Correct Answer
    A. 7.33
  • 20. 
    The two tables show a function and a non-function.  Which x-value in the non-function is the reason it isn't a function? - ProProfs

    The two tables show a function and a non-function.  Which x-value in the non-function is the reason it isn't a function?

    • X=-2

    • X=0

    • X=7

    • X=-8

    Correct Answer
    A. X=-2
    Explanation
    In the non-function table, the x-value that makes it not a function is x = -2. This is because there are two different y-values (-1 and 2) corresponding to the same x-value (-2), violating the definition of a function where each input (x-value) should have only one output (y-value).

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  • 21. 

    Find g[f(-2)], if f(x) = x^2 and g(x) = 3x – 5.

    • -7

    • 7

    • -17

    • 17

    • 13

    Correct Answer
    A. 7
    Explanation
    To find g[f(-2)], we first need to find f(-2). Plugging -2 into the function f(x) = x^2, we get f(-2) = (-2)^2 = 4. Now, we can plug 4 into the function g(x) = 3x - 5 to find g[f(-2)]. g(4) = 3(4) - 5 = 12 - 5 = 7. Therefore, the answer is 7.

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  • 22. 
    Use the graph to determine f(-8) - ProProfs

    Use the graph to determine f(-8)

    • -6

    • -1

    • 6

    • 1

    • 16

    Correct Answer
    A. 1
  • 23. 
      - ProProfs

     

    • -19

    • -11

    • -1

    • 16

    • 19

    Correct Answer
    A. -19
    Explanation
    The given sequence is in descending order. Each subsequent number is obtained by subtracting 8 from the previous number. Therefore, starting from -19, when we subtract 8, we get -27, which is not in the given options. Hence, -19 is the correct answer.

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  • 24. 
    Using the graphs, calculateg(-5) + 2f(-8)  - ProProfs

    Using the graphs, calculateg(-5) + 2f(-8) 

    • 1

    • -1

    • 5

    • -5

    • 13

    Correct Answer
    A. -1
  • 25. 

    If g(x)=4x-23 , what is the value of g(10) ?

    Correct Answer
    17, g(10)=17
    Explanation
    The given function is g(x) = 4x - 23. To find the value of g(10), we substitute x = 10 into the function. So, g(10) = 4(10) - 23 = 40 - 23 = 17. Therefore, the value of g(10) is 17.

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Quiz Review Timeline (Updated): Aug 16, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Aug 16, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Feb 02, 2016
    Quiz Created by
    Maxgardner8
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