There are four values according to the graph: (i) [tex](x,y) = (-5, 2)[/tex], (ii) [tex](x,y) = (1.049, 2)[/tex], (iii) [tex](x,y) = (0.941, 2)[/tex], (iv) [tex](x,y) = (8,2)[/tex]
A polynomic function is continuous and differentiable at every point of [tex]x[/tex], which means that the domain represent the set of all real numbers. In this case, we need to determine the set of points such that [tex]f(x) = 2[/tex].
A quick approach consists in graphing the following group of functions:
[tex]f(x) = 0.1\cdot x^{4} - 0.5\cdot x^{3} - 3.3 \cdot x^{2} +7.7\cdot x - 1.99[/tex] (1)
[tex]g(x) = 2[/tex] (2)
A point is found when [tex]f(x) = g(x)[/tex]. Lastly, we plot the functions by means of a graphing tool, whose outcome is presented below as attachment. There are four values according to the graph: (i) [tex](x,y) = (-5, 2)[/tex], (ii) [tex](x,y) = (1.049, 2)[/tex], (iii) [tex](x,y) = (0.941, 2)[/tex], (iv) [tex](x,y) = (8,2)[/tex]
We kindly invite to check this question on polynomials: https://brainly.com/question/23792383
