Question: 2. (5 marks/ Consider the function: f(x) = -n' + x* + 2x2 -1 Show that at least one root exists in the interval [0,

2. (5 marks/ Consider the function: f(x) = -n' + x*

2. (5 marks/ Consider the function: f(x) = -n' + x* + 2x2 -1 Show that at least one root exists in the interval [0, 1] and that a separate root exists in the interval [1, 2]. Remark: This problem illustrates how to prove the existence of at least two roots by strategically selecting two distinct non-overlapping intervals

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