
Concept explainers
To find: the consecutive value of x where the zeroes of the function is located and graph the function.

Answer to Problem 7CYU
The zeroes of the function lied on (0,1)∪(2,3) .
Explanation of Solution
Given:
f(x)=-3x4+5x3+4x2+4x-8 .
Concept used:
The zeroes of the function resembled the function equates to zero.
y=f(x)=0 .
The zero normally lies in between negative number and positive number.
Therefore, the consecutive number will negative approaches zero and positive approaches to zero except y=0 itself.
The graph of the function f is the set of all point in the plane of the form (x,f(x)) .
The graph can be defined by the graph of f and the equation for the graph will be y=f(x) .
The graph of the function is special case of the graph of an equation.
Calculation:
The function is given as:
f(x)=-3x4+5x3+4x2+4x-8 .
The table for the graph of the function will be:
By putting the value x the value of y can be determine.
x | -1 | 0 | 1 | 2 | 3 |
f(x) | −16 | −8 | 2 | 8 | −68 |
The points in the graph so collected will form a graph for the given equation.
The changes in sign from the result indicates that there are zeroes between x=0 and x=1 ,and between x=2 and x=3 .
Since, the sign of the function changes from negative to positive.
The graph of the given equation by collecting the points will be:
From the graph it easily noticed that graph changes it sign from x=0 and x=1 ,and between x=2 and x=3 .
Hence, the zeroes of the function lied on (0,1)∪(2,3) .
Chapter 5 Solutions
Glencoe Algebra 2 Student Edition C2014
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