Concept explainers
a.
To write: A function that models the height of the pinecone as it falls.
A function that models the height of the pinecone as it falls is
Given:
A pinecone falls from a tree branch that is
Calculation:
For a falling object, the height
In this case, the initial height is
b.
To graph: The function.
Domain is
Given:
A pinecone falls from a tree branch that is
Graph:
First, find some points to graph the function. For this, make table of values for the given function.
Substitute any value for
Choose some more
Plot the points as follows.
Join the points as follows.
c.
To find: Time taken by the pinecone to hit the ground
The pinecone takes about
Given:
A pinecone falls from a tree branch that is
Calculation:
Height when the falling object hits the surface is
Substitute
Subtract
Now, divide each side by
Take the square root on each side.
Use a calculator to evaluate.
Since time cannot be negative, reject the negative value. Thus, the pinecone takes about
d.
To find: Domain and range of the function.
Domain is
Given:
A pinecone falls from a tree branch that is
Calculation:
Consider the following graph of the function.
So,
Domain is
Chapter 1 Solutions
Mcdougal Littell Algebra 2: Student Edition (c) 2004 2004
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