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Is it true that a continuous function that is never zero on an interval never changes sign on that interval? give reasons for y
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Answer: The value of a is 1. The value of b is -1. The value of c is 1. The value of the discriminant is -3. The quadratic function will not intersects the x-axis.
Explanation:
The standard form of a quadratic equation is,
The given function is,
It can be written as,
By comparing this equation with the standard form of quadratic equation. we get,
The formula for discriminant is,
The value of the discriminant is -3.
If D<0, it means the function have no real roots.
If D=0, it means function have one real roots.
If D>0, it means function have two real roots.
Since D<0 it means the function have no real roots. So the function will not intersect the x-axis at any point.