SOLUTION: 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 cho

Algebra ->  Algebra  -> Graphs -> SOLUTION: 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 cho      Log On

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Question 52496: 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) About Me  (Show Source):
You can put this solution on YOUR website!
I keep doing these, so I wish people would just check the already answer problems!
The values for y only approaches zero and decreases and increases on an exponential level, so you have an exponential function.
Points: (-2,0.25),(-1,0.5),(0,1),(1,2),(2,4)
Domain(x-values):-2,-1,0,1,2
Range(y-values):0.25,0.5,1,2,4
We need these two points: (0,1) and (2,4)
y = a(b^x)
1 = a(b^0)
1 = a
plug:
y = b^x
4 = b^2
2 = b
plug:
y = 2^x
Domain: all real values
Range: y+%3E+0
graph%28300%2C300%2C-5%2C5%2C-2%2C8%2C2%5Ex%29