Question

Minimum absolute value of a linear function

Answer 1

Minimum Value of a linear function can be - infinite.
Maximum value of a linear function can be infinite.

But we are talking about absolute linear function.
The range of absolute function is from R - { R ^ -1 }

So, the value of absolute function can be minimally 0 .

Let a be the x - coefficient, b be the constant for a function in x.

Now, The minimum absolute value of a linear function is 0 as described above.

ax+b= 0

x = -b/a


The linear functions minimal absolute value is 0 and at x = -b/ a

Answer 2

Heya User,

--> Hope it helps ..
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A linear function is of the form:
f(x) = ax + b, where a ≠ 0.
We want the absolute minimum. Thus, we are asking the minimum value of |f(x)| .
The answer is zero, because there exists a value of x for which f(x) = 0.
f(x) = 0

So, ax + b = 0
               =>  x = -b/a

Thus, for x = -b/a, the linear function has an absolute minimum value, which is zero.
----Purva----@Purvaparmar1405---Brainly Community