State the inputs and outputs of the following relation. Is it a function? $\{(-3,5),(0,2),(3,5)\}$

Find the exact length of the polar curve $r=2$, for $0\le \theta \le 4\pi$.

How does the graph of the catenary y = a cosh x/a change as a > 0 increases?

101–104. Proving identities Prove the following identities.

cosh (x + y) = cosh x cosh y + sinh x sinh y

61–62. Points of intersection and area

a. Sketch the graphs of the functions f and g and find the x-coordinate of the points at which they intersect.

f(x) = sech x, g(x) = tanh x; the region bounded by the graphs of f, g, and the y-axis

State the inputs and outputs of the following relation. Is it a function? {$\(\left\)(2,5\(\right\)),\(\left\)(0,2\(\right\)),\(\left\)(2,9\(\right\))$}

Find the domain and range of the following graph (write your answer using interval notation).