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put this solution on YOUR website!x -2 -1 0 1 2
y .111 .333 1 3 9
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice,
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This looks like an exponential equation: y = 3^x, notice when you have
an exponent x = 1; y = 3, that's the main clue, and when x = 2 (3^2) y = 9, Negative exponents would give very small values, positive exponents give large values in exponential equations
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and give the domain and range as shown in the graph, and also the domain and range of the entire function.
The domain would be all real numbers, however y will never go to 0 or below so
the range would be all positive real numbers greater than 0
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Prove this to yourself, make a table for the graph, Use a calculator
x | y
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-4| .01236; y = 3^-4
-3| .03704; y = 3^-3
-2| .11111; y = 3^-2
-1| .33333; y = 3^-1
0| 1; remember any number ^0 is 1
+1| 3: any number ^1 is the number
+2| 9: y = 3^2
+3| 27; y = 3^3
+4| 81; y = 3^4
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Note that y approaches 0 but never reaches it, but no limit on it's positive value
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