Practice Test 2 1. Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. f(x)=-3(x+ +/2/2)(x-4) 2. Given: f(x)=x-6x3 +9x2 a. Use the leading coefficient test to determine the graph's end behavior. b. Find the x-intercept(s). State whether the graph crosses the x-axis or touches the x-axis and turns around, at each intercept. c. Find the y-intercept. d. Determine whether the graph has y-axis symmetry, origin symmetry, or neither. maximum number of turning points to check whether it was drawn correctly. e. If necessary, find a few additional points and graph the function. Use the 3. Use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=x-7x+5x-6; 4. Find the zeros of the polynomial function. f(3) f(x) = x-4x-x+14x+10 5. Graph the rational function. f(x) = 3x x-1 Determine symmetry, find x and y-intercepts, if they exist, find vertical asymptote(s) and the horizontal asymptote (if there is one), plot additional points, and graph the function between and beyond the vertical asymptotes and zeros. 6 and 7. Solve the polynomial and rational inequalities and graph the solution sets on real number lines. Express the solution sets in interval notation. 6. x-2x+1>0 x 2 7. 2 x+2 8. Evaluate without using a calculator: log, 125. 9. Use a calculator to evaluate log, 72.7 to four decimal places. 10. Write the equation 0.24 = 0.0016 in its equivalent logarithmic form.