x - 5. [-/1 Points] DETAILS SCALCCC5 2.4.AE.009. MY N EXAMPLE 10 Show that there is a root of the equation below between 0 and 1. Submit Answer 7x3 - 7x2+ 3x - 2=0 SOLUTION Let f(x) = 7x3 - 7x2 + 3x - 2. We are looking for a 4. [-/1 Points] DETAILS SCALCCC5 2.4.044. solution of the given equation, that is, a number c between 0 and 1 MY NOTES ASK YOUR TEACH such that f(c) = . Therefore we take a = , b = , and N = in the Intermediate Value Theorem . We Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither. have f(0) = 0 - 0 +0-2=-20 f ( x ) = if 0 1 Thus f(0) 0 O continuous from the right a root must lie between and A calculator gives, by O continuous from the left trial and error, O neither f(0.88) = -0.010496 0 Sketch the graph of f. So a root lies in the interval (0.88, 0.89)