Webassign Math 241
AJ-773
| Question Part |
| Points |
| Submissions Used |
Sketch the graph of the given function. Check your sketch using technology. HINT [See Example 1.]
f(x) = x2 + 2x + 1
 |
(a) Indicate the x- and y-intercepts. (If an answer does not exist, enter DNE.)
(b) Indicate any extrema. (If an answer does not exist, enter DNE.)
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(d) Indicate the behavior near points where the function is not defined.
(e) Indicate the behavior at infinity.
| x-intercept | (x, y) = |
| ||
| y-intercept | (x, y) = |
|
(b) Indicate any extrema. (If an answer does not exist, enter DNE.)
| | (x, y) =
|
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(x, y) =
 |
 |
(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 → ±∞
(a) Indicate the x- and y-intercepts. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)
(b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(d) Indicate the behavior near points where the function is not defined.
(e) Indicate the behavior at infinity.
| x-intercept | (x, y) = |
| ||
| x-intercept | (x, y) = |
| ||
| x-intercept | (x, y) = |
| ||
| y-intercept | (x, y) = |
|
(b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)
| | (x, y) = |
| ||
| | (x, y) = |
| ||
(x, y) = |
| |||
(x, y) = |
|
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(x, y) =
|
|
(d) Indicate the behavior near points where the function is not defined.
y → +∞ as x → 0
y → 0 as x → ±6
y → +∞ as x → ±6
y → +∞ as x → ±3
(e) Indicate the behavior at infinity.
y → +∞ as x → ±∞
y → −∞ as x → −∞; y → +∞ as x → +∞
y → −∞ as x → ±∞
y → +∞ as x → −∞; y → −∞ as x → +∞
(a) Indicate the x- and y-intercepts. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)
(b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(d) Indicate the behavior near points where the function is not defined.
(e) Indicate the behavior at infinity.
| x-intercept | (x, y) = |
| ||
| x-intercept | (x, y) = |
| ||
| x-intercept | (x, y) = |
| ||
| y-intercept | (x, y) = |
|
(b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)
| | (x, y) = |
| ||
| | (x, y) = |
|
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(x, y) =
|
|
(d) Indicate the behavior near points where the function is not defined.
y → +∞ as x → 0
y → 0 as x → ±3
y → +∞ as x → ±3
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 → −∞ as x → +∞
(a) Indicate the x- and y-intercepts. (If an answer does not exist, enter DNE.)
(b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(d) Indicate the behavior near points where the function is not defined.
(e) Indicate the behavior at infinity.
| x-intercept | (x, y) = |
| ||
| y-intercept | (x, y) = |
|
(b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.)
(x, y) =
| |||
(x, y) =
|
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(x, y) =
|
|
(d) Indicate the behavior near points where the function is not defined.
y → +∞ as x → 0
y → 0 as x → 0
y → −∞ as x → 0
y → +∞ as x → 1
(e) Indicate the behavior at infinity.
y → −∞ as x → ±∞
y → −∞ as x → −∞; y → +∞ as x → +∞
y → 1 as x → ±∞
y → +∞ as x → −∞; y → −∞ as x → +∞
y → +∞ as x → ±∞
(a) Indicate the t- and y-intercepts. (If an answer does not exist, enter DNE.)
(b) Indicate any extrema. (Order your answers from smallest to largest t. If an answer does not exist, enter DNE.)
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(d) Indicate the behavior near points where the function is not defined.
(e) Indicate the behavior at infinity.
| t-intercept | (t, y) = |
| ||
| y-intercept | (t, y) = |
|
(b) Indicate any extrema. (Order your answers from smallest to largest t. If an answer does not exist, enter DNE.)
(t, y) =
| |||
(t, y) =
| |||
(t, y) =
|
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(t, y) =
|
|
(d) Indicate the behavior near points where the function is not defined.
y → +∞ as t → 0
y → −∞ as t → −1+ and as t → 1−. y → +∞ as t → −1− and as t → 1+.
y → +∞ as t → −2+ and as t → 2+. y → −∞ as t → −2− and as t → 2−.
y → +∞ as t → −1+ and as t → 1+. y → −∞ as t → −1− and as t → 1−.
y → −∞ as t → −2+ and as t → 2+. y → ∞ as t → −2− and as t → 2−.
(e) Indicate the behavior at infinity.
y → +∞ as t → ±∞
y → −∞ as t → −∞; y → +∞ as t → +∞
y → −∞ as t → ±∞
y → +∞ as t → −∞; y → −∞ as t → +∞
(b) Use the answer to part (a) to estimate the online social group membership midway through 2008.
M(3.5) = [removed] million members
12 years ago
7
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