"As x increases, y increases along entire the graph".
What is cubic function?
A cubic function is a polynomial function of degree 3.
According to the given question.
We have a cubic function
[tex]f(x) = x^{3} +x^{2}+x+1[/tex]
To find the behavior of graph, we will draw the graph of the cubic function.
For this we will find the values of f(x), for different values of x.
So,
At x = 0
[tex]f(0) = (0)^{3} +(0)^{2} +0+1=1[/tex]
At x = -1
[tex]f(-1) = (-1)^{3} +(-1)^{2} +(-1)+1\\[/tex]
[tex]\implies f(-1) = -1+1-1+1=0[/tex]
At x = 1
[tex]f(1) =(1)^{3} +(1)^{2} +1+1[/tex]
[tex]\implies f(1) = 1+1+1+1=4[/tex]
At x = -2
[tex]f(-2) = (-2)^{3} +(-2)^{2} +(-2)+1[/tex]
[tex]f(-2) = -8+4-2+1= -5[/tex]
If we draw a graph using these points (0, 1), (-1, 0), (1, 4) and (-2, -5).
We see that "as x increases, y increases along entire the graph".
Find out more information about cubic function here:
https://brainly.com/question/11808280
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