Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.
A. Local minimum at x = 1; local maximum at x = -1; concave down on (0, ?); concave up on (-?, 0)
B. Local minimum at x = 1; local maximum at x = -1; concave up on (-?, ?)
C. Local minimum at x = 1; local maximum at x = -1; concave down on (-?, ?)
D. Local minimum at x = 1; local maximum at x = -1; concave up on (0, ?); concave down on (-?, 0)
Answer: D
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Evaluate the integral.
A.
B.
C.
D.
Find a bound on the error in approximating the given definite integral using (a) the trapezoidal rule and (b) Simpson's rule with n intervals.
?
?
A.
B. ?
C. ?
D. ?
Use the graph to determine the function's domain and range.
A. domain: [4, ?) range: [-5, ?) B. domain: (-?, ?) range: [-5, ?) C. domain: (-?, 4) or (4, ?) range: (-?, -5) or (-5, ?) D. domain: (-?, ?) range: (-?, ?)
Answer the question about the given function.Given the function f(x) = , is the point (1,
) on the graph of f?
A. Yes B. No