Question 16 - Week 5 Practice | Prasnya
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Quiz 2
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Mathematics 1
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Week 5
Question 16
00:00
Est. 3 min
Marks:
+3.00
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Passage
Based on the above data, answer the given subquestions. Let
f
(
x
)
=
{
−
∣
x
2
−
1
∣
,
x
<
a
,
x
+
2
,
x
≥
a
.
f(x)=\begin{cases}-|x^2-1|, & x<a,\\ \sqrt{x+2}, & x\ge a.\end{cases}
Question
Find the smallest value of
a
a
such that the function
f
f
is defined for all real numbers.
Comprehension
Medium Difficulty
24 March 2024
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