document.write( "Question 368756: Using the graph of the function y = −4x + 3 with domain x is less than or equal to 0, identify the range of the function.\r
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Algebra.Com's Answer #262709 by neatmath(302)\"\" \"About 
You can put this solution on YOUR website!
The domain is the possible x values, in this case x is less than or equal to zero.
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\n" ); document.write( "\n" ); document.write( "The range is all the possible y values.
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\n" ); document.write( "\n" ); document.write( "To find those possible y values, just start plugging in x values into the equation y=-4x+3:
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\n" ); document.write( "\n" ); document.write( "x=0 implies y=3
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\n" ); document.write( "\n" ); document.write( "x=-1 implies y=7
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\n" ); document.write( "\n" ); document.write( "x=-2 implies y=11
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\n" ); document.write( "\n" ); document.write( "x=-10 implies y=43
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\n" ); document.write( "\n" ); document.write( "x=-100 implies y=403
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\n" ); document.write( "\n" ); document.write( "You can then see that the farther away from zero we get in the negative direction, the bigger the y value will become.
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\n" ); document.write( "\n" ); document.write( "In fact, as the x value approaches -infinity, the y value approaches +infinity! In other words, the smaller the x value, the bigger y becomes!
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\n" ); document.write( "\n" ); document.write( "So, our domain is {x:x is less than or equal to 0} or (-infinity, 0]
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\n" ); document.write( "\n" ); document.write( "Our range then is [0,+infinity)
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\n" ); document.write( "\n" ); document.write( "Of course you would use the infinity sign when you write this out on your paper.
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\n" ); document.write( "\n" ); document.write( "I hope this helps!
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