A function which could represent the graph is: C. f(x) = x⁴(x - a)(x - b)².
How to interpret the graph?
The nature of the intercept on a polynomial graph highlights the nature of its multiplicity. Also, the polynomial graph has no single zero (factor) but bounced off the x-axis at three (3) different locations.
This ultimately implies that the polynomial graph has an even multiplicity at these three (3) points:
x⁴
x - a
(x - b)²
In conclusion, a function which could represent the graph is f(x) = x⁴(x - a)(x - b)².
Read more on multiplicity here:
brainly.com/question/3791218
#SPJ1
