document.write( "Question 1001291: 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. \n" ); document.write( "
Algebra.Com's Answer #618545 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
ax^3+bx^2+cx+d=f(x)
\n" ); document.write( "when x=0, f(x)=2
\n" ); document.write( "a= -2
\n" ); document.write( "d=2
\n" ); document.write( "-2x^3+bx^2+cx+2=f(x)
\n" ); document.write( "f(1)=1
\n" ); document.write( "so -2+b-c+2=1
\n" ); document.write( "b+c=1
\n" ); document.write( "f(-2)= -2
\n" ); document.write( "16+4b-2c+2= -2
\n" ); document.write( "4b-2c=-20
\n" ); document.write( "b+c=1
\n" ); document.write( "==========
\n" ); document.write( "4b-2c= -20
\n" ); document.write( "2b+2c=2
\n" ); document.write( "6b=-18
\n" ); document.write( "b=-3
\n" ); document.write( "c=4
\n" ); document.write( "=========
\n" ); document.write( "-2x^3-3x^2+4x+2=f(x); f(1)=1; f(-2)=-2, f(-1)= -3 ANSWER
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2x%5E3-3x%5E2%2B4x%2B2%29\"\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );