Consider the following statements : 1. The function is continuous at every point in the interval [1, \infty). 2. The function is differentiable at x=1.5. Which of the above statements is/are correct? [NDA I 2014]

NDA Math Limit, Continuity and Differentiability

For the next three (03) items that follow:
Let f(x) be a function in 1≤x<∞ by

f(x)={

2−x	for	1≤x≤2
3x−x2	for	x>2

[NDA I 2014]

Question : 99 of 105

Marks: +1, -0

Consider the following statements :
1. The function is continuous at every point in the interval [1,∞).
2. The function is differentiable at x=1.5. Which of the above statements is/are correct?

[NDA I 2014]

1 only
2 only
Both 1 and 2
Neither 1 nor 2

Validate

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