MAT 122 Quiz: MAT 122 SBU Quiz 3 Solution

• School: Stony Brook University
• Department: Mathematics
• Course: MAT 122
• Professor: All

Document Summary

Question 1: the graph of some function f (x) is shown below. Match the functions listed below to their graphs. (pay attention to the labels on the axes) (i) g(x) = f (2x) (ii) h(x) = f (x) + 2 (iii) j(x) = f (x 1) (iv) k(x) = 3. Graph b (a) graph a (b) graph b (c) graph c (d) graph d. The graph of j(x) is the graph of f (x) shifted right 1 unit, giving graph: finally the graph of k(x) is obtained by stretching the graph of f (x) vertically, which yields graph b. Question 2: consider the functions f (x) = x + 2 g(x) = 3x 2 h(x) = 1 + ex. Find each of the following - (a) f (h(0)) We have that h(0) = 1 + e0 = 1 + 1 = 2. Therefore f (h(0)) = f (2) = 2 + 2 = 2 (b) f (x) g(x)