document.write( "Question 301498: F(x)=-3x^2+5x\r
\n" );
document.write( "\n" );
document.write( "a)is the point (-1,2) on the graph of f? (Yes)
\n" );
document.write( "b)if x=-2, wat is f(x)? what point is on the graph of f? (-22,0)?
\n" );
document.write( " f(x)= -3(-2)^2+5(-2)
\n" );
document.write( " -12-10
\n" );
document.write( " =-22?
\n" );
document.write( "c)if f(x)=-2, what is x? What point(s) are on the graph of x? (HELP)
\n" );
document.write( " f(x)= -2=-3^2+5x
\n" );
document.write( "d)what is the domain of f? (HELP)
\n" );
document.write( "e)list the intercepts, if any, of the graph of f.(HELP)
\n" );
document.write( "f)list the y intercept, if there is one, of the graph f.(HELP)\r
\n" );
document.write( "\n" );
document.write( "I've tried B and got x=-22, but Im stuck mainly on C and any help on the rest would be great! \n" );
document.write( "
Algebra.Com's Answer #216200 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! F(x)=-3x^2+5x \n" ); document.write( "a)is the point (-1,2) on the graph of f? \n" ); document.write( "f(-1) = -3(-1)^2 + 5(-1) = -3-5 = -8 \n" ); document.write( "Ans: No. \n" ); document.write( "--------------- \n" ); document.write( "b)if x=-2, what is f(x)? \n" ); document.write( "f(-2) = -3(4)+5(-2) = -22 \n" ); document.write( "--- \n" ); document.write( "what point is on the graph of f? (-2,-22) \n" ); document.write( "--------------- \n" ); document.write( "c)if f(x)=-2, what is x? \n" ); document.write( "-2 = -3x^2+5x \n" ); document.write( "3x^2-5x-2 = 0 \n" ); document.write( "x = [5 +- sqrt(25-4*3*-2)]/6 \n" ); document.write( "x = [5+-7]/6 \n" ); document.write( "x = 2 or x = -1/3 \n" ); document.write( "Points: (2,-2) and (-1/3,-2) \n" ); document.write( "========================================= \n" ); document.write( "d)what is the domain of f(x) = -3x^2+5x? \n" ); document.write( "Domain: All Real Numbers \n" ); document.write( "--------- \n" ); document.write( "e)list the intercepts, if any, of the graph of f. \n" ); document.write( "x-intercept= ? \n" ); document.write( "Let y = 0 and solve for \"x\": \n" ); document.write( "-3x^2+5x = 0 \n" ); document.write( "x(3x+5) = 0 \n" ); document.write( "x = 0 or x = -5/3 \n" ); document.write( "x-intercepts: (0,0),(-5/3,0) \n" ); document.write( "=========================================\r \n" ); document.write( "\n" ); document.write( "f)list the y intercept, if there is one, of the graph f. \n" ); document.write( "Let x = 0, then -3*0 + 5*0 = 0 \n" ); document.write( "y-intercept : (0,0) \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========================================= \n" ); document.write( " |