2. Fill in the key features of the function f(x) defined by the graph below: Domain Range X intercept Y intercept Interval of Increase/Decrease Vertical/Horizontal Asymptote Equation of the Asymptote

Which of the following features should NOT be represented on a sketch of the graph of the function: 3 + 1? X – 1 y = ) A horizontal asymptote with equation y = 0 O A vertical asymptote with equation x = 1 O The y-intercept at (0, –2) O The x-intercept at (-2,0)

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…

7. Find the following information for each function. (1) State the domain (in interval notation). (ii) Find the equation(s) of the vertical asymptote(s). (iii) Find the x-intercept(s). (iv) Find the y-intercept(s).