Friday

January 30, 2015

January 30, 2015

Posted by **FUNCTIONS** on Friday, July 5, 2013 at 4:56pm.

f(x) is cubic,

f(x) ¡Ý 0 when x ¡Ü 2,

f(x) < 0 when x > 2, and

f(0) = 4

- math -
**Steve**, Friday, July 5, 2013 at 5:08pmI assume you meant:

f(x) >= 0 when x <= 2,

f(x) < 0 when x > 2, and

f(0) = 4

We know that there is a root at x=2, so

f(x) = a(x-2)(bx^2+cx+d)

f(0) = a(-2)(d) = -2ad = 4

That's all we know. So, if we let a=1, d = -2 and

f(x) = (x-2)(bx^2+cx-2)

Unless you have some other info, b and c can be anything.

If I got the definition of f(x) wrong, fix it and follow the logic.

**Answer this Question**

**Related Questions**

Chemistry - CdO is cubic with a lattice constant a=4.695 A˚ and a density...

Chemistry - CdO is cubic with a lattice constant a=4.695 A˚ and a density...

Math - 8. How many cubic feet are in 3 cubic yards? A. 27 cu. ft. B. 5,184 cu. ...

math - *cubic square root*125h^9s^1/*cubic square root*h^-6s^-1 The expression ...

math - A large cylinder has a volume of about 5,400 cubic cm. A small cylinder ...

math - Find an expression for a cubic function f if f(5) = 240 and f(−3...

math - can someone help me set this up so i can solve. Problem #3 the posted ...

math - how do u convert from ft^3 to Liters. i know that 1 liter=1 dm^3, but i ...

math 2 - max packs cereal boxes into a larger box the volume of each cereal box ...

Math - The surface area of a cube is 384 square inches. What is the volume of ...