document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193644>Question 1193644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When you buy an ice cream sundae at a local shop, you can have up to 5 toppings at a cost of 25 cents each. If a plain sundae costs $3.50, the total cost of the sundae and toppings is C(x) = 0.25x + 3.50 . What is the range of this situation?  </SPAN>\n" );
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document.write( "\"you can have up to 5 toppings\" tells us that 5 is the most toppings possible.<BR>\n" );
document.write( "On the other side, 0 toppings is the lowest amount you can have.<BR>\n" );
document.write( "The values of x span from x = 0 to x = 5, where x is an integer representing the number of toppings.<BR>\n" );
document.write( "C(x) is the cost based on what you pick for x.\r<BR>\n" );
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document.write( "If x = 0, then,<BR>\n" );
document.write( "C(x) = 0.25x + 3.50<BR>\n" );
document.write( "C(0) = 0.25(0) + 3.50<BR>\n" );
document.write( "C(0) = 3.50<BR>\n" );
document.write( "It costs $3.50 if you don't pick any toppings.\r<BR>\n" );
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document.write( "If you pick x = 1 topping, then,<BR>\n" );
document.write( "C(x) = 0.25x + 3.50<BR>\n" );
document.write( "C(1) = 0.25(1) + 3.50<BR>\n" );
document.write( "C(1) = 3.75<BR>\n" );
document.write( "The cost is now $3.75; basically we added on 25 cents to get this new price.\r<BR>\n" );
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document.write( "Repeat for x = 2, x = 3, x = 4 and x = 5 to get these costs<BR>\n" );
document.write( "C(2) = 4.00<BR>\n" );
document.write( "C(3) = 4.25<BR>\n" );
document.write( "C(4) = 4.50<BR>\n" );
document.write( "C(4) = 4.75\r<BR>\n" );
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document.write( "Each C(x) output is an element of the range. \r<BR>\n" );
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document.write( "Answer: The range is <font color=red>{3.50, 3.75, 4.00, 4.25, 4.50, 4.75}</font><BR>\n" );
document.write( "Don't forget to use curly braces to tell the reader the range is a set of values. It's the set of all possible outputs of a function.<BR>\n" );
document.write( "It's a finite and discrete set because x could only take on the values from {0,1,2,3,4,5}; in other words, we can't pick x = 1.5 since we can't select half a topping. Therefore, the domain is also finite and discrete.<BR>\n" );
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