SOLUTION: 1) Is sqrt(x^2=x)an identity (true for all values of x)? Explain. 2) x -2 -1 0 1 2 y .25 .5 1 2 4 Given the table above, graph the function, identify the graph of the f

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Question 51949: 1) Is sqrt(x^2=x)an identity (true for all values of x)?
Explain.

2)
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.
Graph
Graph Type
Explanation
Domain
Range

Answer by Nate(3500) (Show Source):
You can put this solution on YOUR website!
1) This is not true for all the values for
sqrt(x^2) = | x |
x = -2
sqrt( (-2)^2 ) = sqrt( 4 ) = 2
2 does not equal -2
2) You have two points: (0,1) and (2,4)
y = a(b^x)
plug:
1 = a(b^0)
1 = a
plug:
y = b^x
4 = b^2
2 = b
final:
y = 2^x
It is exponential because the values increase on an exponential level when increases and the values approach zero when you decrease .
Domain: { x | all reals }
Range: { y | }