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neonofarm [45]
2 years ago
8

Can someone please help mee

Mathematics
1 answer:
Andrew [12]2 years ago
3 0

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:Domain = [-9, -1]

\qquad \tt \rightarrow \:Range = [-1 , 3]

____________________________________

\large \tt Solution  \: :

Domain = All possible values of x for which f(x) is defined

[ generally the extension of function in x - direction ]

Range = All possible values of f(x)

[ generally the extension of function in y - direction ]

\large\textsf{For the given graph : }

\qquad \tt \rightarrow \: domain = [ - 9, -1]

\qquad \tt \rightarrow \: range= [ -1,3]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq  0\\-112 \geq  0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq  0\\80 \geq  0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq  0\\-112 \geq  0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

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