SOLUTION: A function g is defined g(x)=-x^2+2 The domain of g is all real numbers Which of the following is not in the range of g(x)=-x^2+2 A -4 B 0 C 2 D 4

Algebra ->  Functions -> SOLUTION: A function g is defined g(x)=-x^2+2 The domain of g is all real numbers Which of the following is not in the range of g(x)=-x^2+2 A -4 B 0 C 2 D 4      Log On


   

Question 1083437: A function g is defined
g(x)=-x^2+2
The domain of g is all real numbers
Which of the following is not in the range of g(x)=-x^2+2
A -4
B 0
C 2
D 4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: choice D) 4


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Explanation:

If we graph the function g(x) = -x^2+2, we get
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+0%2C-x%5E2%2B2%29+
the highest point is (0,2) which is the vertex of this parabola.

So y = 2 is the largest y value possible.

Something like y = 4 isn't possible.