 # 5 short answer calc questions Anonymous

### Question Description

Do not use your calculator for Parts 1 through 4.

Let f be the function defined as follows: 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. You may graph by hand or use your calculator to graph and copy and paste into the document.

DavidFarag
School: Cornell University  I've finished the questions, just reviewing them

1. if a = 2 and b = 3 at x = 1 the function:
• For the part 3 − x, f (x) = 3 − 1 = 2
• For the part ax2 + bx = 2x2 + 3x = 2 × 1 + 3 × 1 = 5. The two parts of the f...

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Solid work, thanks. Anonymous
The tutor was great. I’m satisfied with the service. Anonymous
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