
Concept explainers
To graph: the function by making table of domain x and range y.

Answer to Problem 4CYU
The graph is a curve which is shown here in green curve.
Explanation of Solution
Given:
f(x)=-4x4+5x3+2x2+3x+1 .
Concept used:
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 define 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)=-4x4+5x3+2x2+3x+1 .
The table for the graph of the function will be:
By putting the value x the value of y can be determine.
x | -2 | -1 | 0 | 1 | 2 | 1.801 | -0.33 | 1.256 |
f(x) | −101 | -10 | 1 | 7 | -9 | 0 | 0 | 7.876 |
The points in the graph so collected will form a graph for the given equation.
The leading coefficient is positive and an even degree polynomial. The graph intersects in the x-axis at 2 points, indicating there are two zeroes for the function.
The graph of the given equation by collecting the points will be:
Hence the graph is a curve which is shown here in green curve.
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Glencoe Algebra 2 Student Edition C2014
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