Determine which of the following statements are true and which are false. Enter the T or F in front of eachstatement.Remember that x € (-1, 1) is the same as -1 < x < 1and x € [−1, 1] means −1 ≤ x ≤ 1.1. The function f(x) = x³ with domain x = [-3,3] has at least one input which produces a largest output value.2. The function f(x) = x³ with domain x € (-3, 3) has at least one input which produces a smallest output value.3. The function sin(x) on the domain x − (−, π) has at least one input which produces a largest output value.4. The function sin(x) on the domain x € [-, π] has at least one input which produces a smallest output value.5. The function f(x) = x³ with domain x € (-3, 3) has at least one input which produces a largest output value.

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Determine which of the following statements are true and which are false. Enter the T or F in front of each statement. Remember that x E (-1, 1) is the same as -1 < x < 1 and x € [-1, 1] means -1 ≤ x ≤ 1. 1. The function f(x) = x³ with domain x € [-3,3] has at least one input which produces a largest output value.