Math 30 §4.5 HW Name: Graph each of following on the provided grid, showing every feature of interest. 1. f(x) = xx² (a) Determine the domain (b) Determine if the graph has any asymptotes, or any kind(s) of symmetry (c) Determine the intervals on which the function is increasing and decreasing (d) Determine the intervals on which the function is concave up and down (e) Graph the function, indicating all extrema and intercepts

In this problem, we will examine the short-run behavior of the following functions. As you complete the chart, look carefully for patterns. I – 3 a) f(x) = I + 6 (r+ 3) (x – 4) b) g(x) 1 2 (л + 2) (т — 7) c) h(x) x +2 (x + 2.4) (x + 5) (x + 1) (r + 5) d) l(x) = 12 – 6x + 8 e) т (г) — I – 2 Complete the following table using the formulas for each of the above functions and any additional information you can obtain from the graph of each function. For this question, consider holes and vertical asymptotes to be undefined points. Function features function number of (distinct) zeros number of undefined points f(r) g(x) h(x) e(x) m(x) b) List the roots (in form a = r) in order from smallest to largest. Also, list the undefined points of the function from smallest to largest. Finally, list the vertical asymptote(s). If there are more blanks provided than needed for a given feature, enter NONE in all remaining, unneeded blanks. The information for function f(x) has been completed as an…