h the graph of the given function. Check your sketch g(x) (x2 + 12) Indicate the x- and y-intercepts. (If an answer does x-intercept (x, y) = w-intercept (x, y) =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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h the graph of the given function. Check your sketch us
x3
g(x) =
%3D
(x2 + 12)
Indicate the x- and y-intercepts. (If an answer does na
x-intercept
(х, у) -
y-intercept
(x, y)
Indicate any extrema. (If an answer does not exist, ent:
Transcribed Image Text:h the graph of the given function. Check your sketch us x3 g(x) = %3D (x2 + 12) Indicate the x- and y-intercepts. (If an answer does na x-intercept (х, у) - y-intercept (x, y) Indicate any extrema. (If an answer does not exist, ent:
(c) Indicate any points of inflection. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)
(х, у) -
(х, у) %3D
(х, у) 3D
(d) Indicate the behavior near singular points of f.
Oy +o as x → 0
Oy 0 as x → ±6
O y - +o as x → ±6
O y→ +o as x → ±1
O The function is defined everywhere on the domain.
(e) Indicate the behavior at infinity.
O y - +o as x → to
O y → -o as x → -0o; y → +0 as x → +
Oy → -o as x → ta∞
O y- +0o as x → -o; y - -0o as x → +o
The domain of the function does not extend to infinity.
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Transcribed Image Text:(c) Indicate any points of inflection. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) (х, у) - (х, у) %3D (х, у) 3D (d) Indicate the behavior near singular points of f. Oy +o as x → 0 Oy 0 as x → ±6 O y - +o as x → ±6 O y→ +o as x → ±1 O The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. O y - +o as x → to O y → -o as x → -0o; y → +0 as x → + Oy → -o as x → ta∞ O y- +0o as x → -o; y - -0o as x → +o The domain of the function does not extend to infinity. Need Help? Read It Viewing Saved Work Revert to Last Response Submit Answer
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