Let f be the function defined as follows: (3-X. + bx, f(x)-ax |5x 10, for x

Let f be the function defined as follows: 

  

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(3-X. + bx, f(x)-ax² |5x – 10, for x <1 for 1 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 f is 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 f is continuous at x = 2. 4. 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? 5. Graph the piece function using the values of a and b that you have found. (3-X. + bx, f(x)-ax² |5x – 10, for x <1 for 1 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 f is 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 f is continuous at x = 2. 4. 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? 5. Graph the piece function using the values of a and b that you have found.

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