Question 20 - Week 7 Practice | Prasnya
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Week 7
Question 20
00:00
Est. 4 min
Marks:
+4.00
0.00
Consider the function
f
(
x
)
=
{
3
x
(
x
+
2
)
2
,
x
≤
−
1
,
2
x
−
3
,
−
1
<
x
≤
1
,
−
8
x
+
1
,
x
>
1.
f(x)=\begin{cases}\frac{3x}{(x+2)^2}, & x\le -1,\\ 2x-3, & -1<x\le 1,\\ -\frac{8}{x+1}, & x>1.\end{cases}
Find the total number of points in
(
−
2
,
2
]
(-2,2]
at which
f
(
x
)
f(x)
is not continuous.
Integer answer
Medium Difficulty
24 March 2024
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