Concept explainers
(a)
To graph: The function
The required domain is 135 and the range is
Given Information:
The given functions is
Here
Calculation:
Consider the given functions
Now, draw the graph.
Interpretation:
Hence, from the graph the domain is 135 and the range is
(b)
To find: The domain of the function.
The required domain is 135.
The given functions is
Here
Explanation:
Consider the given functions
From the solution 49a. the domain of the function is the point where the graph cuts at y axis.
Thus,
Hence, the required domain is 135.
(c)
To find: The rang of the function.
The required range is
The given functions is
Here
Explanation:
Consider the given functions
From the solution 49a. the range of the function are the points where the graph cuts at x axis.
Thus,
Hence, the required range is
(d)
To calculate: The side lengths of the window.
The required side length are 13.96 ft by 8.38 ft.
The given previous side length of the window is 15 ft by 9 ft.
New area is
Calculation:
Consider the new are
Let the sides of the new window is
Thus, the area is,
The side scale of the new window must be same as the previous one.
Now, the scale of the previous sides
The scale of the new sides
Thus,
Rewrite the expression as,
Now, solve (1) and (2) for
Substitute
Substitute
Hence, the required side length are 13.96 ft by 8.38 ft.
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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