Fill This Form To Receive Instant Help
Homework answers / question archive / University of Calgary Continuing Education Math 2 Assignment 1 Transformations Consider the graph of the function y = f(x) Describe the transformation of y = f(x) to ? = 3?(−2(? − 1)) + 4
University of Calgary
Continuing Education
Math 2
Assignment 1
?(?) = ?(? + 2) − 3.
1. Given ?(?) = 2?0 + 11? − 21 and ?(?) = 2? − 3, determine the equation, state the domain and range and sketch the graph of each combined function. a) ? = ?(?) − ?(?)
b) ? = ?(?) + ?(?) c) ? =
2. Given ?
and ?(?) = 4 − ? , match the combined functions in Set A with the graph in Set B.
Set A
(?)
?(?) = ?(? − ?)(? − ?)(? − ?) is shown. Determine the value of a, and write the polynomial in factored form.
1. Match each of the following equations with its graph.
a) ? = 5(25) + 1 b) ? = DE0F5GH
c) ? + 1 = 2HI5 d) ? = 5 D0EFI5
When the original function was ? = logQ ? , use the points on the graph and your knowledge
of transformations to determine the value of a + 3b.
a) log5 16 = 4 b) 75GE = 405IE
c) 405GE = 9(4EI5) d) 2 logH(? − 3) = logH(4)
e) log0(? − 4) = 4 − log0(? + 2)
7. The estimated number of bacteria present in a certain culture after t hours is given by
?(?) = ?(?)?Z?, where C is the initial number of bacteria, t is the time and d is the doubling period. A particular culture of 100 has a doubling period of 2 hr. Find the time required to reach 30 000. Express your answer to the nearest tenth of an hour.