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check point 3 review 2

Quiz by Madison Matthews

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28 questions
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  • Q1
    What is the average rate of change of the function $f(x) = 3x^2 + 2x - 5$ from $x = 1$ to $x = 3$?
    $14$
    $10$
    $16$
    $12$
    30s
  • Q2
    If $g(x) = x^3 - 4x + 6$, what is the average rate of change of $g$ from $x = -2$ to $x = 2$?
    $0$
    $-2$
    $2$
    $4$
    30s
  • Q3
    What is the average rate of change of the function $h(x) = 4x - 1$ from $x = 0$ to $x = 4$?
    $6$
    $3$
    $4$
    $5$
    30s
  • Q4
    What is the result of dividing the polynomial $3x^2 - 2x + 4$ by $x - 1$?
    $3x^2 + 2x - 1$
    $3x + 1$
    $4x - 5$
    $2x^2 - x + 3$
    30s
  • Q5
    What is a common graphical representation of a function with a removable discontinuity?
    A horizontal line
    A hole or hollow point on the graph
    A vertical asymptote
    An oscillating curve
    30s
  • Q6
    Which function has a removable discontinuity at $x=2$?
    $x^2 - 4
    $\frac{x^2 - 4}{x - 2}$
    $\frac{x^2 - 4x + 4}{x - 2}$
    $\frac{x^2 - 4}{x^2 - 4x + 4}$
    30s
  • Q7
    What is the horizontal asymptote of the function $f(x)=\frac{3x^2+2x+1}{2x^2-5x+2}$?
    $2$
    $\frac{3}{2}$
    $0$
    $\frac{2}{3}$
    30s
  • Q8
    If the function $f(x) = \frac{3x^3 + 4}{x^2 - 5}$ has a horizontal asymptote, what is it?
    $\frac{3}{5}$
    $0$
    $-5$
    $4$
    30s
  • Q9
    Which of the following functions has a vertical asymptote at $x = -2$?
    $f(x) = x + 2
    $f(x) = \frac{1}{x - 2}$
    $f(x) = \frac{1}{x + 2}$
    $f(x) = \frac{1}{x^2 + 4}$
    30s
  • Q10
    What is the vertical asymptote of the function $f(x) = \frac{5}{2x - 10}$?
    $x = -5$
    $x = 0$
    $x = 5$
    $x = 2$
    30s
  • Q11
    What is the end behavior of a polynomial function with an even degree and a positive leading coefficient?
    As $x \o -\infty$ and $x \o +\infty$, the function approaches negative infinity.
    The function approaches zero as $x$ approaches negative or positive infinity.
    The function has a horizontal asymptote at $y = 0$.
    As $x \o -\infty$ and $x \o +\infty$, the function approaches positive infinity.
    30s
  • Q12
    What is the end behavior of the function $g(x) = 2x^3 - 5x^2 + 3x + 1$?
    The end behavior is that $g(x)$ approaches zero as $x$ approaches negative or positive infinity.
    As $x \o -\infty$, $g(x) \o -\infty$; and as $x \o +\infty$, $g(x) \o +\infty$.
    The function has a horizontal asymptote at $y = 0$.
    As $x \o -\infty$, $g(x) \o +\infty$; and as $x \o +\infty$, $g(x) \o -\infty$.
    30s
  • Q13
    What is the end behavior of the function $f(x) = -3x^5 + 4x^4 - 2x^3 + x - 5$?
    As $x \o -\infty$, $f(x) \o -\infty$; and as $x \o +\infty$, $f(x) \o +\infty$.
    As $x \o -\infty$ and $x \o +\infty$, $f(x) \o 0.
    As $x \o -\infty$ and $x \o +\infty$, $f(x) \o +\infty$.
    As $x \o -\infty$, $f(x) \o +\infty$; and as $x \o +\infty$, $f(x) \o -\infty$.
    30s
  • Q14
    If $f(x) = 2x + 3$ and $g(x) = x^2$, what is $f(g(x))$?
    $2x^2 + 3$
    $x^2 + 6x + 9$
    $2x^2 + 6x + 9$
    $4x^2 + 3x + 3$
    30s
  • Q15
    If $p(x) = x + 5$ and $q(x) = 3x - 2$, what is $q(p(x))$?
    $4x + 3$
    $3x + 13$
    $x + 3$
    $3x^2 + 13$
    30s

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