Question

The function f(x)=x2-1 has root in the interval​

Answer 1

Answer:

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Derivative

f'(x)=2x

Answer 2

Given

• f(x)=x^2-1

To find

• The root of the function and the interval in which it is lying

Solution

we are provided with a function and are asked to find the root of the function.

if a is the root of the polynomial then P(a) will be zero,

mathematically,

P(a) =0

using this hypothesis to the above problem,

f(x) =0

or, x^2 -1 = 0

or, x^2 = 1

or, x = -1 or x = 1

the root of the polynomial is -1 and 1.

since the root of the polynomial lies in real number line, the interval in which it will lie would be real line.