document.write( "Question 895052: Hello, I am trying to figure out how to graph this following equation.
\n" ); document.write( "y=(x-2)^2(x+5) and include the domain and range. Thanks in advance \n" ); document.write( "

Algebra.Com's Answer #542538 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
This equation being in factored form is convenient.
\n" ); document.write( "ZEROS: x=2 and x=-5.
\n" ); document.write( "DEGREE is 3.
\n" ); document.write( "Leading term: $\"1%2Ax%5E3\"$ \r
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\n" ); document.write( "\n" ); document.write( "Those facts tell you where the graph crosses the x-axis, and indicates that y decreases toward the left of x=-5, and increases toward the right of x=2 as x increases. Domain & Range, all real numbers.\r
\n" ); document.write( "\n" ); document.write( "You can check signs in the intervals which the critical values of x form, just to be more clear of the shape before you try to sketch the graph. Note the (x-2)^2, so the factor occurs with multiplicity of two.\r
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\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C-20%2C20%2C-25%2C25%2C%28x-2%29%5E2%28x%2B5%29%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C-12%2C12%2C-10%2C55%2C%28x-2%29%5E2%28x%2B5%29%29\"$ \n" ); document.write( "

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