Question

For the polynomial
f(x)=1 – 2x - 3x^4 as
x → infinity, f(x) → -infinity
A. True
B. False

Answer 1

Answer:

true

Step-by-step explanation:

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Answer 2

The polynomial f(x) = 1 – 2x - 3x⁴ as x → infinity, f(x) → -infinity is true because the leading term is negative.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

$\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n$

We have a polynomial:

f(x) = 1 – 2x - 3x⁴

or

f(x) = - 3x⁴ - 2x + 1

As we increase the value of x the value of f(x) decreases because the leading term is negative.

Leading term = -3

Thus, the polynomial f(x) = 1 – 2x - 3x⁴ as x → infinity, f(x) → -infinity is true because the leading term is negative.

Learn more about Polynomial here:

brainly.com/question/17822016

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