2. [10/15 Points] DETAILS PREVIOUS ANSWERS WANEAC7 5.4.003. Sketch the graph of the given function. Check your sketch using technology. g(x) = x3 - 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) = -V3, 0 x-intercept (x, y ) = 0,0 x-intercept ( x, y ) = V3,0 y-intercept (x, y ) = 0,0 (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) minimum ( x, y) = -2, - 4 X maximum ( x, y ) = -1,2 minimum ( x, y ) = 1,2 X maximum O V ( x, y ) = 2,4 X (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) ( x, y ) = DNE X3. [-/15 Points] DETAILS WANEAC7 5.4.004. Sketch the graph of the given function. Check your sketch using technology. g(x) = 2x3 - 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 ) = -V3 ,0 x-intercept (x, y) = 0,0 x-intercept ( x, y ) = V3 ,0 y-intercept ( x, y ) = 0,0 (b) Indicate any extrema. (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) ---Select--- ( x, y ) = ---Select--- ( x, y ) = ---Select--- ( x, y) = ---Select--- ( x, y ) = (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)4. [0.64/1 Points] PREVIOUS ANSWERS WANEAC7 5.4.031. | PRACTICE ANOTHER The following graph shows a rough approximation of historical and projected median home prices for a country for the period 20002024. C(t) 350 300 250 200 150 100 50 o I o3s91215192124 Here, t is time in years since the start of 2000, and C(t) is the median home price in thousands of dollars. The locations of stationary points and points of inflection 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 $ 150 thousand at the start of 2000 (t = 0). The median home price has two low points; rst in the year 2000 and again in the year 2012 ,/ when it stood at $ 150 thousand; the median home price peaked at the start of the year 2006 at $ 225 v thousand. The median home price was decreasing most rapidly at the start of the year 2006 X when it was $ 225 X thousand, and increasing most rapidly at the start of the year 2012 x when it was $ 150 x thousand. Assuming that the trend shown in the graph continued indefinitely, the median home price would approach a value of $ 300 y thousand in the long term. Need Help