Question 35459: Please help. I go to college online and I have to submit this answer by Sat. night.Heres the question:
x -2 -1 0 1 2
y .0625 .25 1 4 16
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.
Graph:
Graph Type:
Explanation:
Domain:
Range:
Found 3 solutions by Nate, rapaljer, stanbon:
Answer by Nate(3500)   (Show Source):
You can put this solution on YOUR website! the numbers decrease as the x-values go lower....but the y-values never
are equal to or lower than 0 .... so it must be an exponential function!
use y=(a)(b^x)
y=(a)(b^x)
1=a(b^0)
a=1
so: y=b^x
4=b^1
b=4
so your final equation is:
y=4^x
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the domain and range are the same as in the graph as they are in your list
domain: all real number
range: y>0
sorry, I do not know how to plot an exponential growth equation to show you
Answer by rapaljer(4671)  (Show Source):
You can put this solution on YOUR website! You should begin by trying to figure out the pattern of numbers in the x and y table. Notice that the x values are integers, and the y values start with very small decimal numbers and become extremely large very quickly. This would be an indication that it is an exponential equation. In fact, notice that all the y numbers are powers of 4, beginning with  ,  ,  ,  , and  . The equation of the graph is therefore  .
The graph should look like this: 
Domain is the set of all x values, which for these specific points would be the set containing just these 5 x-values { -2, -1, 0, 1, 2}, and the range is the set of y values, which would be these 5 y-values: { .0625, .25, 0, 1, 4, 16}
When you take the entire graph into account, you should look at the graph, and identify, what values of x and y respectively give you points on the graph.
Notice that x could be any value from - infinity to + infinity. In interval notation that would be Domain = (- inf, inf) or all real numbers.
Notice that y never becomes negative, and it cannot equal zero, although it gets very close to zero. Therefore, the range is (0, inf).
R^2 at SCC
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! x -2 -1 0 1 2
y .0625 .25 1 4 16
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.
Type: Exponential
Equation: y=4^x
Domain: all real numbers
Range all real numbers greater than zero
To graph the function plot the points you have
been given and connect them with a smooth curve.
Cheers,
Stan H.
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