Question Part |
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Submissions Used |
Sketch the graph of the given function. Check your sketch using technology. HINT [See Example 1.]
f(x) = x2 + 2x + 1
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(a) Indicate the x– and y-intercepts. (If an answer does not exist, enter DNE.)
x-intercept |
(x, y) =
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y-intercept |
(x, y) =
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(b) Indicate any extrema. (If an answer does not exist, enter DNE.)
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(x, y) =
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(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(x, y) =
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(d) Indicate the behavior near points where the function is not defined.
y → +∞ as x → 0
y → 0 as x → −1
y → +∞ as x → −1
y → +∞ as x → 1
(e) Indicate the behavior at infinity.
y → −∞ as x → ±∞
y → −∞ as x → −∞; y → +∞ as x → +∞
y → +∞ as x → −∞; y → −∞ as x → +∞
y → −1 as x → ±∞
y → +∞ as x → ±∞