(a) For which x-values does the function appear to be not continuous? (Select all that apply.)012345(b) For which x-values does the function appear to be not differentiable? (Select all that apply.)012345

Which of the following is not continuous for all x

Which of the following functions is continuous for every value of x except x=0?

(x)=⎧⎩⎨⎪⎪⎪⎪|x+1|,1,x+1√−1x,x<0x=0x>0.𝑓(𝑥)={|𝑥+1|,𝑥<01,𝑥=0𝑥+1−1𝑥,𝑥>0. Which of the following is/are incorrect?Question 1Answera.f(x)𝑓(𝑥) is continuous at x=0𝑥=0.b.f(x)𝑓(𝑥) is continuous for all real numbers x𝑥. c.f(x)𝑓(𝑥) is differentiable at x=0𝑥=0.d.f(x)𝑓(𝑥) is differentiable at all real numbers x𝑥.

Which of the following statements is/are correct? Choose all that apply.

Let be some fixed parameter. The following function is discontinuous at .Question 5Select one:TrueFalse