Concept explainers
a.
To graph:
The given function
a.
Explanation of Solution
Given information:
Alana plays softball and so far this season she has gotten a hit 4 out of 12 times at bat.
The function for Alana’s batting average is
Graph:
Interpretation:
The given function is plotted in the graphing calculator and the graph is obtained.
b.
To explain what part of the graph is meaningful in the context of the problem
b.
Answer to Problem 38PPS
The meaningful part of the graph in context of the problem is first quadrant because
Explanation of Solution
Given information:
Alana plays softball and so far this season she has gotten a hit 4 out of 12 times at bat.
The function for Alana’s batting average is
The first quadrant of the graph will be meaningful when the consecutive hits on the bat is positive number.
Here,
c.
To describe the meaning of the intercepts of the vertical axis
c.
Answer to Problem 38PPS
The intercepts of the vertical axis means Alana’s batting average now, before her next
Explanation of Solution
Given information:
Alana plays softball and so far this season she has gotten a hit 4 out of 12 times at bat.
The function for Alana’s batting average is
In an analytical geometry, the vertical axis represents a variable
Therefore, here vertical intercepts represent Alana’s batting average now, before her next
d.
To write the equation of horizontal asymptote and also explain its meaning with respect Alana’s batting average
d.
Answer to Problem 38PPS
The equation of horizontal asymptote is
Explanation of Solution
Given information:
Alana plays softball and so far this season she has gotten a hit 4 out of 12 times at bat.
The function for Alana’s batting average is
To find the horizontal asymptote divide numerator’s leading co-efficient from denominator leading co-efficient,
Therefore, the horizontal asymptote is
Since the function represents Alana’s batting average, then
This means that Alana’s batting average will never reach nor exceed 100% because of her initial performance of hitting 4 out of 12 at hits
Chapter 8 Solutions
Glencoe Algebra 2 Student Edition C2014
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