1st graph represents the function \(y=-1.5x^{2}\) for which domain = (-∞,∞) and range = (-∞,∞).
What is function?
" A function is defined as the relation between two variables such that for each input there should be one and only one output."
According to the question,
Given function,
\(y=-1.5x^{2}\)
Substitute the different values of 'x' in the function to get 'y' we have,
Domain 'x' = -∞ , ......., -3, -2, -1, 0, 1, 2, 3, ........, ∞
Range ' y' = -∞ , ......., -13.5, -6, -1.5, 0, -1.5, -6, -13.5, ........, ∞
From the observation of all graph,
All the above values of the function \(y=-1.5x^{2}\) represented by 1st graph.
Hence, 1st graph represents the function \(y=-1.5x^{2}\) for which domain = (-∞,∞) and range = (-∞,∞).
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