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as an axis of symmetry at x = –2.   B. The range of f is the set of all real numbers.   C. The maximum value of f is –7 when x = –2.   D. As x approaches infinity, f(x) approaches infinity.   E. As x approaches negative infinity, f(x) approaches nega

as an axis of symmetry at x = –2.   B. The range of f is the set of all real numbers.   C. The maximum value of f is –7 when x = –2.   D. As x approaches infinity, f(x) approaches infinity.   E. As x approaches negative infinity, f(x) approaches nega

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Which statements about the behavior of f(x) = x2 + 4x − 3 are true? Select all that apply.

  • A.
    f has an axis of symmetry at x = –2.
  •  
    B.
    The range of f is the set of all real numbers.
  •  
    C.
    The maximum value of f is –7 when x = –2.
  •  
    D.
    As x approaches infinity, f(x) approaches infinity.
  •  
    E.
    As x approaches negative infinity, f(x) approaches negative infinity.
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