D2L MC QUESTIONS REVIEW (1)
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York University *
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MHF4UA
Subject
Mathematics
Date
Jan 9, 2024
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23
Uploaded by KidElectron3972
Question 1 (1 point) A polynomial function with degree five can have a maximum of how many turning points? Question 1 options: a) 1 b) 2 c) 3 d) 4 e) 5 Question 2 (1 point) The minimum number of x-intercepts that an odd degree polynomial function can have is: Question 2 options: a) 0 b) 1 c) 2 d) 3 Question 3 (1 point)
Is (x+2) a factor of the polynomial ? Question 3 options: a) True b) False Question 4 (1 point) A quartic function has roots at ,
and a double root at
. Which of the following is a possible equation for the function? Question 4 options: a) b) c) d) Question 5 (1 point) The factored form of is : Question 5 options: a)
b) c) d) Question 6 (1 point) In a polynomial function, if the third differences are not constant, yet the fourth differences are, then the function is: Question 6 options: a) Constant b) Linear
Linear c) Quadratic d) Cubic e) Quartic Question 7 (1 point) To determine the end behaviour of a polynomial function you must consider: Question 7 options: a) The sign of the leading coefficient
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b) The degree of the polynomial c) The number of terms in the polynomial d) Both a and b Question 8 (1 point) What are the x-intercepts of
? Question 8 options: a) b) c) d) Question 9 (1 point) In comparison to the parent function, the graph of a reciprocal function will: Question 9 options: a) Be negative on the intervals where the parent function is negative. b) Be positive on the intervals where the parent function is negative. c) Will be a perfect reflection across the line .
d) Will have vertical asymptotes where the parent functions had y-intercepts. Question 10 (1 point) In a rational function it is possible to have more than one Question 10 options: a) Vertical asymptote b) Horizontal asymptote c) y-intercept d) None of the above Question 11 (1 point) Determine the x-intercept(s) of Question 11 options: a) b) c) d) Question 12 (1 point)
Determine the equation of the vertical asymptote(s) of Question 12 options: a) x=2 b) x=-2 c) x=-4 d) x=4 Question 13 (1 point) Determine the equation of the horizontal asymptote of Question 13 options: a) y=0 b) y=3 c) x=-4 d) y=5 Question 14 (1 point) Determine the equation of the horizontal asymptote of
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Question 14 options: a) y=0 b) y=2 c) y=3 d) y=6 Question 15 (1 point) Determine the solution to the following logarithmic expression: Question 15 options: a) 0 b) 0.3010102995 c) 1 d) 2.653212514 Question 16 (1 point) The invers of an exponential function is a logarithmic function with the same base. Question 16 options: a) True b) False
Question 17 (1 point) Determine the solution(s) of Question 17 options: a) x=8 b) x=-8 c) Both a and b d) None of the above Question 18 (1 point) The exponential function Question 18 options: a) Has a range of b) Has a y-intercept at (0,1) c) Represents exponential decay d) Represents exponential growth Question 19 (1 point) Solve Question 19 options:
a) x=3 b) x=-3 c) Both a and b d) None of the above Question 20 (1 point) When the function is graphed what is the y-
intercept? Question 20 options: a) (0,0) b) (0,5) c) (0,2) d) It doesn’t have one Question 21 (1 point) Solve Question 21 options: a) 0.604530977 b) 1.209061955
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c) 1.654174951 d) 2.41812391 Question 22 (1 point) Solve Question 22 options: a) x=2 b) x=10 c) x=20 d) None of the above Question 23 (1 point) One radian is equal to how many degrees? Question 23 options: a) 37.5 b) 57.3 c) 75.3 d) 180 Question 24 (1 point)
If the secant and cotangent of an angle are negative, then the terminal arm of this angle must terminate in which quadrant? Question 24 options: a) 1 b) 2 c) 3 d) 4 Question 25 (1 point) A trigonometric identity is: Question 25 options: a) A relationship between trig ratios that holds true for all possible angles b) A relationship between trig rations that only holds true for particular angles c) An equation that involves trig ratios that only hold true for particular angles d) An equation relating the addition and subtraction of trig ratios Question 26 (1 point) Determine the period of Question 26 options:
a) b) c) d) Question 27 (1 point) Jeff tracks the movement of all his friends on a Ferris wheel. At time zero they are at the top of the Ferris wheel, which is 15m above the ground. It takes 4 seconds for the wheel to reach its minimum of 1m. Which of the following equations models this situation? Question 27 options: a) b) c) d) Question 28 (1 point) Which of the following statements is true?
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Question 28 options: a) The graph of has vertical asymptotes that are units apart. b) The graph of has vertical asymptotes that are units apart. c) The graph of has vertical asymptotes that are units apart. d) All of the above Question 29 (1 point) Using the compound angle formulae equals Question 29 options: a) b) c) d) Question 30 (1 point) In , the c represents
Question 30 options: a) The amount of vertical translation b) The axis of the curve c) The average between the maximum and minimum values d) All of the above Question 31 (1 point) Express as a single trig function in simplest form. Question 31 options: a) b) c) d) Question 32 (1 point) In which quadrant is the terminal arm of Question 32 options: a) 1
b) 2 c) 3 d) 4 Question 33 (1 point) What is the domain of Question 33 options: a) b) c) d) Question 34 (1 point) If and
then
? Question 34 options: a)
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b) c) All of the above d) None of the above Question 35 (1 point) The slope of a tangent line to a curve is equal to: Question 35 options: a) The slope of a horizontal asymptote b) The equation of the axis of the curve c) The average rate of change d) The instantaneous rate of change Question 36 (1 point) Is it possible to estimate the instantaneous rate of change at for the function ? Question 36 options: a) yes b) no
c) Impossible to tell from the equation alone Question 37 (1 point) Simplify Question 37 options: a) 1 b) 2 c) 3 d) 6 Question 38 (1 point) Which of the following statements about inverse functions is false? Question 38 options: a) The graphs of inverse functions are reflections across the liney=x b) The inverse of a function is always a function c) d) The domain of the original function is the range of the inverse Question 39 (1 point)
Determine the domain of
if and
Question 39 options: a) b) c) d) Question 40 (1 point) Determine the domain of if
and Question 40 options: a) b) c) d) Question 41 (1 point) Which of the following functions is even? Question 41 options:
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a) b) c) d) Question 42 (1 point) Which of the following functions is odd? Question 42 options: a) b) c) d) Question 43 (1 point) What type of function is Question 43 options: a) Polynomial b) Rational
c) Exponential d) None of the above Question 44 (1 point) Identify the type of function: “Has both vertical and horizontal asymptotes “
Question 44 options: a) Polynomial Function b) Rational Function c) Exponential Function d) Logarithmic Function e) Trigonometric function Question 45 (1 point) Identify the type of function: “Has a horizontal asymptote at and increases throughout its domain “
Question 45 options: a) Polynomial Function b) Rational Function c) Exponential Function
d) Logarithmic Function e) Trigonometric function Question 46 (1 point) Identify the type of function: “The third differences of this function are constant “
Question 46 options: a) Polynomial Function b) Rational Function c) Exponential Function d) Logarithmic Function e) Trigonometric function Question 47 (1 point) Identify the type of function: “Does not have a y-intercept and is a reflection of an exponential function across the line y=x
Question 47 options: a) Polynomial Function b) Rational Function c) Exponential Function
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d) Logarithmic Function e) Trigonometric function Question 48 (1 point) Identify the type of function: “Has both end behaviours pointing upwards to infinity “
Question 48 options: a) Polynomial Function b) Rational Function c) Exponential Function d) Logarithmic Function e) Trigonometric function Question 49 (1 point) Identify the type of function: “Continuously cycles between a maximum and a minimum “
Question 49 options: a) Polynomial Function b) Rational Function c) Exponential Function
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d) Logarithmic Function e) Trigonometric function Question 50 (1 point) Identify the type of function: “Can be used to model real life phenomena “
Question 50 options: a) Polynomial Function b) Rational Function c) Exponential Function d) Logarithmic Function e) All of the above Submit Quiz
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