Sketch the graph of the given function. Check your sketch using technology. HINT [See Example 1.] f(x) = x + 6x + 9 X y 10% 10+ y -10 10 -5 5 -5 -10- 10. 5 -10 -5 -5 -10F TTK 10 5- -5 -10F in 5 5 -10 -10 -5 10 -5 S 1. TH -10- X 10 10 X (a) Indicate the x- and y-intercepts. (If an answer does not exist, enter DNE.) x-intercept (x, y) = (L y-intercept (x, y) = (b) Indicate any extrema. (If an answer does not exist, enter DNE.) ---Select--- (x, y) = ( (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (x, y) = (d) Indicate the behavior near singular points of f. y + as x 0 y 0 as x-3 y + as x -3 y + as x 3 The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. y + as x0; y as x + --00 y-3 as x 0 y + as X 00 y as X + y as xX; y+ as x + O