What is the end behavior of the function $f (x) = 3 x^{4} - x^{3} + 2 x^{2} + 4 x + 5$ $f(x) = 3x^4 - x^3 + 2x^2 + 4x + 5$ ?

Question

What is the end behavior of the function $f (x) = 3 x^{4} - x^{3} + 2 x^{2} + 4 x + 5$ $f(x) = 3x^4 - x^3 + 2x^2 + 4x + 5$ ?

1 Answer

Impact of this question

5185 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-03-02T11:27:01

The answer is: $f \to + \infty$ $f rarr+oo$ when $x \to \pm \infty$ $xrarr+-oo$ .

If we do the two limits for $x \to \pm \infty$ $xrarr+-oo$ , the results are both $+ \infty$ $+oo$ , because the power that leads is $3 x^{4}$ $3x^4$ , and

$3 \cdot {(\pm \infty)}^{4} = + \infty$ $3*(+-oo)^4=+oo$ .

Science

Math

Humanities

... and beyond

What is the end behavior of the function $f (x) = 3 x^{4} - x^{3} + 2 x^{2} + 4 x + 5$ $f(x) = 3x^4 - x^3 + 2x^2 + 4x + 5$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the end behavior of the function f(x)=3x4−x3+2x2+4x+5f(x) = 3x^4 - x^3 + 2x^2 + 4x + 5?

1 Answer

Related questions

Impact of this question

What is the end behavior of the function $f (x) = 3 x^{4} - x^{3} + 2 x^{2} + 4 x + 5$ $f(x) = 3x^4 - x^3 + 2x^2 + 4x + 5$ ?