1.0.55/0.55 points |  Previous AnswersWaneAC5 5.4.001.My Notes  | Question PartPointsSubmissions 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.)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 → 0y → 0 as x → −1    y → +∞ as x → −1y → +∞ 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) =            (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 → 0y → 0 as x → ±6    y → +∞ as x → ±6y → +∞ 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) =            (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 → 0y → 0 as x → ±3    y → +∞ as x → ±3y → +∞ 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) =          (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 → 0y → 0 as x → 0    y → −∞ as x → 0y → +∞ 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) =          (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 → 0y → −∞ 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     + C     + C    + C     + C     + C    + C      + C      + C                   (b) Use the answer to part (a) to estimate the online social group membership midway through 2008.M(3.5) = [removed] million members