Question

Which of the following graphs represents the function f(x) = x4 - 2x3 - 3x2 + 4x + 1?

a:
https://kenosha.brainhoney.com/Resource/23097623,AB3,0,5/Assets/71943_53b5a754/04_00_71a.jpg
b: https://kenosha.brainhoney.com/Resource/23097623,AB3,0,5/Assets/71943_53b5a754/04_00_71b.jpg
c: https://kenosha.brainhoney.com/Resource/23097623,AB3,0,5/Assets/71943_53b5a754/04_00_71d.jpg
d: https://kenosha.brainhoney.com/Resource/23097623,AB3,0,5/Assets/71943_53b5a754/04_00_71_c.jpg

Answer 1

just graph the equation using www.desmos.com/calculator and compare to answer choices

Answer 2

okay thank you!

Answer 3

D since, it has 4 x-intercepts, and since the degree of the function is even and the leading coeifficient is positive the end behaviour is also positive. for both as x approaches negative and positive infinity.