document.write( "Question 1143049: Draw the graph of a function that decreases over the interval (-5, -2) and increases over the interval (-2, 4). (All I'm given is intervals) \n" ); document.write( "

Algebra.Com's Answer #763811 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Despite what the other tutor (?) says, (-5, -2) and (-2, 4) are perfectly good intervals....

\n" ); document.write( "All you need is any continuous graph which, as you \"walk\" along the graph from x=-5 to x=-2, always has you walking \"downhill\", and which, as you walk along the graph from x=-2 to x=4 always has you walking \"uphill\".

\n" ); document.write( "Absolute value functions and parabolas are two common types of functions that can meet those requirements.

\n" ); document.write( "(1) $\"y+=+abs%28x%2B2%29-3\"$ is downhill from x=-5 to x=-2 and uphill from x=-2 to x=4:

\n" ); document.write( " $\"graph%28400%2C400%2C-8%2C8%2C-8%2C8%2Cabs%28x%2B2%29-3%29\"$

\n" ); document.write( "(2) $\"y+=+%281%2F4%29%28x%2B2%29%5E2-3\"$ is also downhill from x=-5 to x=-2 and uphill from x=-2 to x=4:

\n" ); document.write( " $\"graph%28400%2C400%2C-8%2C8%2C-8%2C8%2C%281%2F4%29%28x%2B2%29%5E2-3%29\"$

\n" ); document.write( "And of course there are an infinite number of other functions that satisfy the requirements. \n" ); document.write( "

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