AP Calculus AB Scoring Guide T2 Test 1 Practice
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Questions and Answers

What is the x-coordinate of each point of inflection of the graph of f?

  • 1
  • 4 (correct)
  • 6
  • None of the above

    • What are all values of x for which the graph of h has a horizontal tangent?

  • There are no values of x for which the graph of h has a horizontal tangent
  • x = 4 (correct)
  • x = 0
  • x = 1

    • What is the x-coordinate of the critical point of function f?

  • $\frac{1}{2}$
  • $-\frac{1}{2}$
  • $1$
  • $2$ (correct)

    • Why does the function f have a relative maximum at x = e?

    <p>f'(x) changes from positive to negative at x = e</p> Signup and view all the answers

    What is the reason for the graph of f being increasing and concave up on 0 < x < 1 and 4 < x < 6?

    <p>$f'(x) = g(x) &gt; 0$ on those intervals</p> Signup and view all the answers

    On what open intervals, if any, is the graph of f both increasing and concave up for -5 < x < 6?

    <p>-5 ≤ x &lt; 3 and 3 &lt; x &lt; 6</p> Signup and view all the answers

    For which value of x does the absolute minimum of the function f occur?

    <p>6</p> Signup and view all the answers

    Which of the following statements is true about the function f on the closed interval [0, 1]?

    <p>f attains both a minimum value and a maximum value on the closed interval [0, 1]</p> Signup and view all the answers

    What is the graph of f when g(x) is piecewise linear for -5 ≤ x < 3, and g(x) = 2(x - 4)² for 3 ≤ x ≤ 6?

    <p>Decreasing and concave down</p> Signup and view all the answers

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