which graph shows a polynomial function with a positive leading coefficient?

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06-12-2022
Mathematics

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which graph shows a polynomial function with a positive leading coefficient?

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Tutorconsortium127idn Tutorconsortium127idn · Answer 1 · 2022-12-12T02:03:11-05:00

The graph shows a polynomial function with a positive leading coefficient B.

What is meant by polynomial function with a positive leading coefficient?

The function will reach its maximum value of + in the case of a positive leading coefficient and its minimum value of - in the case of a negative leading coefficient. This indicates that even degree polynomials with positive leading coefficients have a range of [ymin, ∞), where ymin stands for the global minimum that the function reaches.

When a variable in an equation like the quadratic equation, cubic equation, etc. has only non-negative integer powers or only positive integer exponents, the function is said to be polynomial.

Leading coefficients are the values listed before the variable with the biggest exponent. They can be positive, negative, real, imaginary, whole, fractional, or decimal, much like conventional coefficients, and they can also be positive, negative, real, or imaginary.

Therefore, the correct answer is option B.

To learn more about polynomial function refer to:

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What is meant by polynomial function with a positive leading coefficient?

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