Webassign Math 241

AJ-773

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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.)

x-intercept

(x, y) =

y-intercept

(x, y) =

(b) Indicate any extrema. (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.)

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) =

(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.)

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) =

(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.)

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) =

(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.)

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) =

(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 → +∞

+ C

(b) Use the answer to part (a) to estimate the online social group membership midway through 2008.
M(3.5) = [removed] million members

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29.05.2014
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