Let f be the function defined as follows: (attached)

If a = 2 and b = 3, is f continuous at x = 1? Justify your answer.

Find a relationship between a and b for which f is continuous at x = 1.
Hint: A relationship between a and b just means an equation in a and b.

Find a relationship between a and b so that f is continuous at x = 2.

Use your equations from parts (ii) and (iii) to find the values of a and b so that f is continuous at both x = 1 and also at x = 2?

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.