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Summative Test in Basic Calculus

Quiz by Dan Russell Ventura

Grade 11
Basic Calculus
Philippines Curriculum: SHS Specialized Subjects (MELC)

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40 questions
Show answers
  • Q1

    What concept is most essential in calculus because other core concepts such as continuity, the derivative, and the integral are all based on it?

    Rate

    Tangent

    Slope

    Limit

    30s
    STEM_BC11LCIIIa-1
  • Q2

    Which of the following will make limx→c f(x) and f(c) equal?

    \lim_{x\to0}\left(\cos\ \frac{2}{x}\right)

    \lim_{x\to-1}\left(x^3-2x+3\right)

    \lim_{x\to-3}\left(\frac{x^3+27}{x+3}\right)

    \lim_{x\to2}\left(\frac{x^2+x-6}{x-2}\right)

    30s
    STEM_BC11LCIIIa-2
  • Q3

    Given the table of values of the function below, what is its limit as x approaches -1?

    Question Image

    DNE

    -1

    3.9997

    4

    30s
    STEM_BC11LCIIIa-1
  • Q4

    If c is a constant, what is the limit of c as x approaches a?

    a

    0

    x

    c

    30s
    STEM_BC11LCIIIa-3
  • Q5

    What limit law is used in the given below? 

    Question Image

    Addition Law

    Identity Law

    Constant Law

    Power Law

    30s
    STEM_BC11LCIIIa-3
  • Q6
    30s
    STEM_BC11LCIIIa-4
  • Q7
    30s
    STEM_BC11LCIIIa-4
  • Q8
    30s
    STEM_BC11LCIIIa-4
  • Q9
    Question Image
    30s
    STEM_BC11LCIIIb-1
  • Q10
    30s
    STEM_BC11LCIIIb-1
  • Q11

    Based on the graph of the function below, where do the discontinuities of f(x) occur?

    Question Image

    x = 0

    x = 1

    x = -1

    x = 1, x = -1

    30s
    STEM_BC11LCIIIc-1
  • Q12

    What makes a function f(x) continuous at x = c?

    Question Image

    I, II, and III

    I and II only

    I only

    II and III only

    30s
    STEM_BC11LCIIIc-1
  • Q13

    Given the graph below, what can you say about the function at (-1,1)?

    Question Image

    Not Continuous

    Continuous

    30s
    STEM_BC11LCIIIc-2
  • Q14

    Given the graph below, what can you say about the function at x = -2?

    Question Image

    Continuous

    Not Continuous

    30s
    STEM_BC11LCIIIc-2
  • Q15

    Given the graph below, what can you say about the function at x = -1?

    Question Image

    Continuous

    Not Continuous

    30s
    STEM_BC11LCIIIc-2

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