logo
or
search
upload

Question :

Do not use your calculator for Parts 1 through 4. Let f be the function defined as follows: { 3-x, for x < 1 f(x) = { ax^2 + bx, for 1 ? x < 2 { 5x-10, for x ? 2 where a and b are constants The equation in written form: f of x equals the piecewise function three minus x for x is less than one, a x squared plus b x for one is less than or equal to x is less than two, and five x minus ten for x is greater than or equal to two 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 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.


 Related Question & Answers

Are these Answers Helpful ?

        

Disclaimer

The questions posted on the site are solely user generated, Doubtnut has no ownership or control over the nature and content of those questions. Doubtnut is not responsible for any discrepancies concerning the duplicity of content over those questions.

 Similar Questions Asked By Users