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Byju's Answer
Standard XII
Mathematics
Continuity of Composite Functions
A quadratic f...
Question
A quadratic function f (x) attains a minimum of 2 at x=2 .The value of function at x equal to zero is 6. what will be the value of f (12)?
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Similar questions
Q.
A quadratic function attains its minimum value of 5 at x=1 and holds a value of 6 at x=0. Find the value of the function at x=5
Q.
A quadratic function f(x) attains a maximum of 3 at x=1. The value of the function at x=0 is 1. What is the value of f(x) at x=10?
Q.
Consider the function
f
(
x
)
=
x
2
−
1
x
2
+
1
, where
x
ϵ
R
.
At what value of
x
does
f
(
x
)
attain minimum value?
Q.
Let
f
(
x
)
be a quadratic function given by the equation
f
(
x
)
=
a
x
2
+
b
x
+
c
. The value of the function at point
x
=
−
b
2
a
is less than zero.
If
a
>
0
, the nature of roots of the given equation are:
Q.
Consider the function
f
(
x
)
=
(
1
x
)
2
x
2
, where
x
>
0
At what value of
x
does the function attain maximum value?
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