Calculus

Question 1

1. Consider the quadratic g(x) = 3x^2 + 4x − 3:

(a) Find the vertex form of the equation for g(x).
(b) Identify a domain (as large as possible) on which g(x) is invertible.
(c) Find the inverse function g−1(x) on the domain from the previous
part.

Answer 1

Question 2

Use the graph of y = f (x) below to sketch the following graphs:
(a) y = 2f (x − 1) + 3
(b) y = f (−x)
(c) y = f (3x)

Answer 2

Question 3

Removeable Discontinuity

Answer 3

lim f(x) exists and is not infinite but doesn’t equal f(a)