Math  /  Algebra

QuestionGiven g(x)=1x2g(x)=1-x^2:
(a) Determine the domain and range.
(b) Calculate g(1)g(-1) and g(2)g(2).
(c) Use the graph to find g(1)g(-1) and g(2)g(2).

Studdy Solution
To use the graph of gg to evaluate g(1)g(-1) and g(2)g(2), we would typically locate the points (1,g(1))(-1, g(-1)) and (2,g(2))(2, g(2)) on the graph. However, since the graph is not provided, we can't perform this step. But we can say that if the graph were provided, the y-coordinates of these points would correspond to the values we calculated using the formula.
So, g(1)=0g(-1) =0 and g(2)=3g(2) = -3 would also be the results using the graph.
The solution is(a) The domain of gg is (,)(-\infty, \infty) and the range of gg is (,1](-\infty,1].
(b) Using the formula, g(1)=0g(-1) =0 and g(2)=3g(2) = -3.
(c) Using the graph, g(1)=0g(-1) =0 and g(2)=3g(2) = -3.

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