Answer Happy

Sketch the graph of the given function. Check your sketch using technology. f(x) = x2 + 6x + 9 (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.) minimum (x,y) (l (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (x,) = (d) Indicate the behavior near singular points of i. y - + as x 0 y - O as x-3

(c) Indicate any points of inflection. (If an answer does not exist, e (x, y) = )([ (d) Indicate the behavior near singular points of f. y → +0 as x 0 y → as x →-3 y → +0 as x →-3 y → + as x 3 The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. Oy → + as 500 Oy -- as x - 300 y--3 as x 100 y -- as x -+-;y → + as x +00 y + as x - -;y -- as x +00