# [Solved] Calculus-Homework 2

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# Problem 1

Draw the graphs of the following equations in two variables x and y.

1. −3x + 2y = 2
2. x = 1
3. (x + 2)2 = 2(2y + 1)
4. (x + 2)2 + (y− 3)2 = 6
5. For each of the examples above, determine whether it is the graph of a function y = f(x). If so, find f(x), its domain, and its range.
6. For each of the examples above, determine whether it is the graph of a function x = g(y). If so, find g(y), its domain, and its range.

# Problem 2

Let f(x) = 2x/2. Find the inverse function of f, denoted f−1, and state domain and range of f and f−1.

Note that f−1 is common symbolic notation for the inverse function. It does, however, not denote the function 1/f(x)!

# Problem 3

Compute following limits

1. a) limx→1x2 + 2x− 2

b)

c)

d)

e)

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[Solved] Calculus-Homework 2
30 \$