Sketch the graph of the given function. Check your sketch using technology. HINT [See Example 1.]...

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Sketch the graph of the given function. Check your sketch using technology. HINT [See Example 1.] f(x) = x² + 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 x→∞0; y →∞ as x → +∞ --00 y-3 as x ±0 y +∞ as X → ±00 y as X → +∞ y → ∞ as xX→∞; y+∞ as x→→ +∞ O Sketch the graph of the given function. Check your sketch using technology. HINT [See Example 1.] f(x) = x² + 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 x→∞0; y →∞ as x → +∞ --00 y-3 as x ±0 y +∞ as X → ±00 y as X → +∞ y → ∞ as xX→∞; y+∞ as x→→ +∞ O

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