1) Fill in the blanks in the following sentences. Main Idea: . A vertical asymptote is a vertical that the curve of a function's graph approaches but never touches. . A function has a vertical asymptote at any x-values where it is . The value of a function approaches infinity near a asymptote. 2) Use the graph to fill in the blanks in the following sentences. . As x becomes a smaller positive number, A(x) F (x) - becomes a positive number. . As x gets closer to F(x) gets closer to being undefined. . When x = 0, F(x) is . So, x = 0 is a vertical of A(x).3) Use the steps below to answer the following questions. How to Find Vertical How many vertical asymptotes does this function Asymptotes have? What are they? Factor the denominator F(x) = (x+1)(x - 2) of the function's equation. Asymptotes: Write each factor in an equation equal to zero. . Solve each equation for X. . Each of those values of x is a vertical asymptote.4) Main Idea: You can use vertical asymptotes to graph rational functions. Fill in the blanks below. How to Graph a Rational Function Example: F (x) = The denominator = 0 when x = 1. Find any vertical So, X = is a vertical asymptote. asymptotes. 2. Make a table of values X -0.5 -0.1 0 0.1 0.5 to find points on the graph on both sides of Ax) undefined the asymptote(S). 3. Use a dashed line to draw the vertical 10- asymptote on the xy- plane. Plot the points and connect them with smooth curves. Do not let the curve(s) touch the asymptote(S).5) Main Idea: You can use vertical asymptotes to identify a function's equation. Use the graph below to answer the following questions. . How many vertical asymptotes does this function have? What are they? . Could this be the graph of F(x) = = ? Explain. x(x + 1)