Determine whether the statement is true or false.If f(1) > 0 and f(7) < 0, then there exists a number c between 1 and 7 such that f(c) = 0.TrueFalse

Indicate if the following statement is true or false:B < (C + 7) AND M OR (F * N) >= (K – C + N) where B = 4, C = -17, K = -15, F = 5, M = FALSE , N = 12TrueFalse

Let f be a function such that f (1) = − 2 and f (5) = 7. Which of the following conditions ensures that f(c) = 0 for some value c in the open interval (1,5)?Responses∫15𝑓(𝑥)𝑑𝑥 exists. Integration of f of x of d x exists from 1 to 5f is increasing on the closed interval [1, 5].f is increasing on the closed interval [1, 5].f is continuous on the closed interval [1, 5].f is continuous on the closed interval [1, 5].f is defined for all values of x in the closed interval [1, 5].

Indicate if the following statement is true or false:A * 3 >= B – 14 \ 3 AND F OR C <= D + 3 where A = 7, B = 9, C = 14, D = -4 and F = FALSETrueFalse

If f(2) = 2 and f '(x) ≥ 1 for 2 ≤ x ≤ 7, how small can f(7) possibly be?

Indicate if the following statement is true or false:b <= a – 3 where b = 5 and a = 7TrueFalse