SOLUTION: Determine an expression for f(x) in which f(x) is cubic, f(x)≥ 0 when x ≤ 2, f(x) < 0 when x > 2, and f(0) = 4.
Algebra.Com
Question 1022005: Determine an expression for f(x) in which f(x) is cubic, f(x)≥ 0 when x ≤ 2, f(x) < 0 when x > 2, and f(0) = 4.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
In order for it to be positive before and negative after , then it must look like this,
or else you will have an additional set of directional changes.
So now solve for the constant.
After x=2 the cubic will be positive so the constant needs to be negative.
So,
.
.
.
.
.
.
.
RELATED QUESTIONS
Determine an expression for f(x) in which f(x) is cubic, f(x) is equal to or greater than (answered by Fombitz)
Graph and Evaluate the given formula:
f(x){ x^2 + 1 ; x ≤ 0
{ x - 1 ; x ≥ (answered by Fombitz)
Linear Function - Graph and evaluate the given formula:
f(x){ x^2 + 1 ; x ≤ 0
{ (answered by solver91311)
f(x)= x²+4
f(0) and f(2)
(answered by jorel1380)
a) Sketch the polynomial defined by the
following:
f(x) is cubic
f(x) ≥ 0 when x ≤ (answered by MathLover1)
Find f(0) when f(x)=x^2+4x+6 (answered by algebrahouse.com)
Find f ^–1(x)
f(x)=x^2+2 for x ≥... (answered by ReadingBoosters)
Let f(x) be a polynomial such that f(0) = 4, f(1) = 6, and f(2) = -2. Find the remainder (answered by math_tutor2020)
f(x)=7x+2 find f(x) when x=0 and when... (answered by checkley71)