MATH 144 Assignment 3 13 June 2023 :0 1 \\/ 2x2 + 1 Question 1 (15pts). Sketch the graph of the function f(m) = . In particular: Step 1. Find the domain. Step 2. Find the m- and y-intercepts. Step 3. Determine where the function is positive or negative. Step 4. Find the horizontal and vertical asymptotes. Step 5. Find the critical points. Step 6. Determine where the function is increasing or decreasing. Step 7. Determine where the function is concave up or down, and nd the inection points. Step 8. Use all of the above information to sketch the function. Please clearly indicate your nal answers to each of these steps. Do not worry about the accuracy of the locations of the critical and inection points in the sketch, as long as they are positioned correctly relative to each other and the a: and yaxes