SOLUTION: I hope this is in the right spot. I am having trouble figuring out how to do this from my study sheet: x -2 -1 0 1 2 y .25 .5 1 2 4 Given the table above, graph the fu

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Question 52371: I hope this is in the right spot. I am having trouble figuring out how to do this from my study sheet:

x -2 -1 0 1 2
y .25 .5 1 2 4
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.

Answer by Nate(3500) (Show Source):
You can put this solution on YOUR website!
Since the values only approach zero and increase/decrease on an exponential level, you have a exponential function.
P(0,1) and P(2,4)
y = a(b^x)
1 = a(b^0)
1 = a
plug:
y = 1(b^x)
4 = b^2
2 = b
plug:
y = 2^x
Domain: { x | all reals }
Range: { y | }