Concept explainers
a.
To graph: The function
a.
Explanation of Solution
Given information:
The polynomial
Graph:
Consider the equation
Construct a table of values,
Connect the points obtained above to obtain a smooth curve.
Interpretation:
The function
b.
To calculate: The consecutive integer values of x at which real zero is located.
b.
Answer to Problem 31SGR
The real zeros of the function are located between
Explanation of Solution
Given information:
The function
Calculation:
Consider the function
Construct a table of values,
Recall that if for a polynomial function and a and b are two real numbers such that
From the above table the changes in sign at integer values indicate that zeros of the function lie between
c.
To calculate: The approximate x-coordinates where relative
c.
Answer to Problem 31SGR
The function has relative minima near
Explanation of Solution
Given information:
The function
Calculation:
Consider the function
Construct a table of values,
The function has relative high and low values of function. A function has relative minimum when no other near by point has a lesser y-coordinate. A function has
Observe from the table that the polynomial function
Similarly, the polynomial function
Thus, the function has relative minima near
Chapter 5 Solutions
Glencoe Algebra 2 Student Edition C2014
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