9 Questions
What is the x-coordinate of each point of inflection of the graph of f?
4
What are all values of x for which the graph of h has a horizontal tangent?
x = 4
What is the x-coordinate of the critical point of function f?
$2$
Why does the function f have a relative maximum at x = e?
f'(x) changes from positive to negative at x = e
What is the reason for the graph of f being increasing and concave up on 0 < x < 1 and 4 < x < 6?
$f'(x) = g(x) > 0$ on those intervals
On what open intervals, if any, is the graph of f both increasing and concave up for -5 < x < 6?
-5 ≤ x < 3 and 3 < x < 6
For which value of x does the absolute minimum of the function f occur?
6
Which of the following statements is true about the function f on the closed interval [0, 1]?
f attains both a minimum value and a maximum value on the closed interval [0, 1]
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?
Decreasing and concave down
Test your knowledge of AP Calculus AB with this practice quiz based on section 3-3.4. Questions include finding absolute minimum, function continuity, and strict increase on closed intervals.
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