Suppose fx- a-b x- x1 - and if lim x - 1 fx-f1 what are possible values of a and b -

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Standard XII

Mathematics

Necessary Condition for an Extrema(Is a Function Differentiable at Boundaries)

Suppose fx=[ ...

Question

Suppose f(x) = and iff(x) = f(1) what are possible values of a and b?

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Solution

The given function is

Thus, the respective possible values of a and b are 0 and 4.

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Similar questions

Q. Suppose

f (x) =

⎧ ⎨ ⎩ \begin{matrix} a + b x, & x < 1 4, & x = 1 b - a x & x > 1 \end{matrix}

and if

lim x \to 1 f (x) = f (1)

, then what is the possible value of

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Q. Suppose

f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} a + b x, & x < 1 4, & x = 1 b - a x, & x > 1 \end{matrix}

and if

lim x \to 1 f (x) = f (1)

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Q. a+bx, x<14,b-ax, x>128. Suppose f(x)=x=1and if limf (x)-f (1) what are possible values of a and b?

consider the function
$f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} a + b x, x < 1 4, x = 1 b - a x, x > 1 \end{matrix}$
If ${lim}_{x \to 1} f (x) = f (1)$ , then the values of a and b are

Suppose f(x) = $⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} a + b x & x < 1 4 & x = 1 & and if b - a x & x > 1 \end{matrix}$
$lim x \to 1 = f (1)$ ,
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Suppose f(x) = and iff(x) = f(1) what are possible values of a and b?

The given function is Thus, the respective possible values of a and b are 0 and 4.

The given function is

Thus, the respective possible values of a and b are 0 and 4.