SOLUTION: A cubic polynomial function f(x) has leading coefficient -2 and intercepts the y-axis at 2.If f(1)=1, and f(-2) =-2, find f(-1) and write the complete function.
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Question 930999: A cubic polynomial function f(x) has leading coefficient -2 and intercepts the y-axis at 2.If f(1)=1, and f(-2) =-2, find f(-1) and write the complete function.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
A cubic polynomial function:
given:
has leading coefficient =>
so far we know
and intercepts the y-axis at : => =>
If =>
=>
=>.......eq.1
and =>
=>
=>
=>.......eq.2
solve the system:
.......eq.1
.......eq.2
_________________________
.......eq.1 ...solve for
...substitute in eq.2
.......eq.2...solve for
find
the complete function is:
find :
check:
...as given
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