document.write( "Question 1176450: f(x)=
\n" ); document.write( "{x+1 if x>4
\n" ); document.write( "{ -(x+1) if x<=4
\n" ); document.write( ";
\n" ); document.write( "f(1) \n" ); document.write( "

Algebra.Com's Answer #803404 by math_tutor2020(3817) $\"\"$ $\"About$

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\n" ); document.write( "We want to evaluate f(1)
\n" ); document.write( "This means we want to evaluate f(x) when x = 1.\r
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\n" ); document.write( "\n" ); document.write( "The piecewise function is
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\n" ); document.write( "\n" ); document.write( "This is basically saying
\n" ); document.write( "If x > 4, then f(x) = x+1
\n" ); document.write( "OR
\n" ); document.write( "If $\"x+%3C=+4\"$ , then f(x) = -(x+1)
\n" ); document.write( "You can only pick one branch. You cannot pick both at the same time.
\n" ); document.write( "As you can see, it all depends on what x is.\r
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\n" ); document.write( "\n" ); document.write( "Since x = 1, and $\"1+%3C=+4\"$ , this means we go with the branch that has $\"x+%3C=+4\"$ . This is the lower branch.\r
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\n" ); document.write( "\n" ); document.write( "Plug x = 1 into this version of f(x)
\n" ); document.write( "f(x) = -(x+1)
\n" ); document.write( "f(1) = -(1+1)
\n" ); document.write( "f(1) = -(2)
\n" ); document.write( "f(1) = -2\r
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\n" ); document.write( "\n" ); document.write( "Answer: -2
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