Use the graph of function g to answer these questions. a. What are the values of g(1), g(- 12), and g(15)?
b. For what x-values is g(x) = -6?
c. Complete the rule for g(x) so that the graph represents it.

Which statement about perfect cubes is true

Table which ratio is equivalent to 3: 7? 6: 7 3: 21 24: 56 15: 30

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .