document.write( "Question 1049327: Which best describes the graph of the function f(x)=4(1.5)^x \n" ); document.write( "
Algebra.Com's Answer #664865 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the equation itself is an exponential equation because the unknown value of x is in the exponent.\r
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\n" ); document.write( "\n" ); document.write( "i would describe the graph as the graph of an exponential equation.\r
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\n" ); document.write( "\n" ); document.write( "the domain is all real values of x because there is no value of x that does not result in a real value of y.\r
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\n" ); document.write( "\n" ); document.write( "the range of the function is all real values of y that are greater than 0 because the value of y will never be less than or equal to 0.\r
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\n" ); document.write( "\n" ); document.write( "why is this so?\r
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\n" ); document.write( "\n" ); document.write( "when x = 0, the value of the function is y = 4.\r
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\n" ); document.write( "\n" ); document.write( "when x is positive, the value of the function is greater than 4.\r
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\n" ); document.write( "\n" ); document.write( "when x is negative, the value of the function is 0 < x < 4.\r
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\n" ); document.write( "\n" ); document.write( "here's the graph of the equation so you can see for yourself.\r
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\n" ); document.write( "\n" ); document.write( "you can also see for yourself by just plugging in values for x and see that the graph conforms to the equation.\r
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\n" ); document.write( "\n" ); document.write( "when x = -20, the equation becomes y = 4 * 1.5^-26 which is equal to .0012029146 which the graph display rounds to .001.\r
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