a.
To draw the graph.
Let us consider the parent function as:
The first transformation is to shift the parent function in the horizontal direction towards right by
The second transformation is to vertically shift the graph by 2 units in downward direction:
Graph:The graph for the function is shown as:
b.
To determine the domain and the range.
Graph:The graph for the function is shown as:
Calculation:The graph is defined for all real numbers greater than
Also, the graph covers all values of real numbers greater than
c.
To determine that function is onto the set of non-negative real numbers.
No
Graph:The graph for the function is shown as:
Calculation:The graph is defined for all real numbers greater than
Also, the graph covers all values of real numbers greater than
On the set of non-negative real numbers, function is not onto on the domain. For example, the number
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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