document.write( "Question 924955: Which facts are true for the graph of the function below? Check all that apply.\r
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document.write( "F(x) = 4 5x\r
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document.write( " A. The range of F(x) is y > 5.
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document.write( " B. It is decreasing.
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document.write( " C. It is increasing.
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document.write( " D. The y-intercept is (0, 5).
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document.write( " E. The y-intercept is (0, 4).
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document.write( " F. The domain of F(x) is all real numbers. \n" );
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Algebra.Com's Answer #561216 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Assuming the function is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "from it we can see that\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "* it is increasing on the ENTIRE domain. Basically it is always increasing\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "* it looks like it crosses y = 0, aka the x axis, at some point, but it never does because this is the horizontal asymptote. So the range is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "* the y-intercept is (0,4). The green graph crosses the y axis at 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "* the domain is the set of all real numbers (the graph stretches from left to right with no holes, gaps, jumps, etc)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the answers are: C, E, F. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The other statements are false. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "IF choice A said \"range is y > 0\", then A would be true. However it doesn't. \n" ); document.write( "Choice B is the opposite of C, so it has to be false since C is true. \n" ); document.write( "You can only have one y-intercept, so if E is true, then D has to be false. \n" ); document.write( " |