Let f be the function defined as follows: 3-X, for x

Let fbe the function defined as follows: 3-x, ax2 + bx, 5x-10, for x < 1 for for x 22 where a and b are constants 1. If a = 2 and b = 3, is f continuous at x = 1? Justify your answer. 2. Find a relationship between a and b for which fis continuous at x = 1. Hint: A relationship between a and b just means an equation in a and b. 3. Find a relationship between a and b so that fis continuous at x = 2. 4. Use your equations from parts (ii) and (iii) to find the values of a and b so that fis continuous at both x = 1 and also at x = 2? 5. Graph the piece function using the values of a and b that you have found. You may graph by hand or use your calculator to graph and copy and paste into the document.