# Answer to Question #15615 in Calculus for hsd

Question #15615

Consider the function:

f(x) = (1/2)(x-1)^2 if x ≤ 2

= a+bx if x > 2

where a, b are constants.

(a) How do you need to choose a and b in order for f to be continuous at all

x E IR?

(b) How do you need to choose a and b in order for f to be dierentiable at all

x E IR?

f(x) = (1/2)(x-1)^2 if x ≤ 2

= a+bx if x > 2

where a, b are constants.

(a) How do you need to choose a and b in order for f to be continuous at all

x E IR?

(b) How do you need to choose a and b in order for f to be dierentiable at all

x E IR?

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