Question

For the polynomial
f(x) = 2x4 – 8v? + 77-25
as
X->
→ -*f(x) –
- DO

Answer 1

We can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.

Given the polynomial function expressed as:

$f(x)=2x^4-8x^2+7x-25$

If x tends to negative infinity, the polynomial function will become:

$f(x)=2(-\infty)^4-8(-\infty)^2+7(- \infty)-25\\f(x)=2(\infty)-8(\infty)+7(- \infty)-25\\f(x)=\infty -\infty -7\infty - 25\\f(x) =\infty - 25$

Since infinity is a large number, therefore subtracting 25 from it will not have any effect on it and will still return a positive infinity.

Hence we can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.

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