A coordinate plane with a line passing through (negative 3, 2) and (0, 3) Find the linear function represented by the graph. The slope of the line is . The y-intercept of the line is at . What linear function is represented by the graph?

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Which property is illustrated by the following statement? if hxa rgi, then rgi hxa.

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) = .