1. [-/7 Points] DETAILS WANEAC7 5.4.001. 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.) ---Select--- O (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. Oy - too as x - 0 Oy - 0 as x - -3 Oy - too as x - -3 Oy - to as x - 3 The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. y - to as x -> -0; y - -0 as x- + 0oOy - -3 as x - 100 Oy - -co as x - 100 Oy - too as x - to y - -0 as x -> -0; y -> to as x- + 00 Need Help? Read It Watch It Submit Answer 2. [-/15 Points] DETAILS WANEAC7 5.4.003. MY N Sketch the graph of the given function. Check your sketch using technology. g(x) = x5 - 3x, domain [-2, 2] (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.) ---Select--- ( x, y ) =---Select---O (x, y ) : ---Select--- O ( x, y ) ---Select--- O (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. Oy - two as x - 0 Oy - 0 as x - 12 Oy - to as x - 12 Oy -> too as x - +1 The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. Oy -> too as x - 100 Oy - -co as x -> -co; y - to as x - +0 Oy - -0 as x - 100 Oy - too as x -> -0; y - -co as x - + 0 The domain of the function does not extend to infinity. Need Help? Read It Watch It3. [-/15 Points] DETAILS WANEAC7 5.4.004. Sketch the graph of the given function. Check your sketch using technology. g(x) = 2x5 - 6x, domain [-4, 4] (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.) ---Select--- O (x, y) = ---Select--- O ( x, y ) = ---Select--- O ( x, y ) : ---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.VCICUI--- ---Select--- O (x, y ) = ---Select--- O ( x, y ) = ---Select--- O ( 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. Oy - too as x - 0 Oy - 0 as X - 14 Oy - to as x - 14 Oy - to as x - 12 The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. Oy - too as x - too Oy - -0 as x -> -0; y -> to as x - +0 Oy - -co as x - too Oy -> too as x -> -0; y- -0 as x - + 0 The domain of the function does not extend to infinity. Need Help? Read It4. [-l1 Points] DETAILS WANEAC7 5.4.031. MY NOTES PRACTICE ANOTHER The following graph shows a rough approximation of historical and projected median home prices for a country for the period 20002024. C0) 350 300 250 200 150 100 50 0 I 0 3 6 9 12 15 19 21 24 Here, t is time in years since the start of 2000, and C03) is the median home price in thousands of dollars. The locations of stationary points and points of inection are indicated on the graph. Analyze the graph's important features, and interpret each feature in terms of the median home price. The median home price was 3; thousand at the start of 2000 (t = 0). The median home price has two low points; rst in the year and again in the year when it stood at $ thousand; the median home price peaked at the start of the year at $ thousand. The median home price was decreasing most rapidly at the start of the year when it was 5; thousand, and increasing most rapidly at the start of the year when it was $ thousand. Assuming that the trend shown in the graph continued indefinitely, the median home price would approach a value of $ ,, , thousand in the long term. Need Help