Answer:
3
Step-by-step explanation:
f(x) = 4x^3 – 13x^2 + 9x + 2
This looks complicated but all we need to find are the Roots
We are looking for when y=0
So given each part of the information, we can label how many times it happens
The function starts from the bottom of quadrant 3: Starts lower left
and goes up through the x-axis at (0, negative 0.25) : This is ONE ROOT
and then through the y-axis at (0, 2). : It's now on the 2nd quartile
It then starts to curve down at (0.5, 4): It's moving towards y=0
until it reaches (1.75, negative 0.5).: It has now passed y=o and there are TWO ROOTS
It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3: It has passed y=0 again, so there are THREE ROOTS
This polynomial function has 3 ROOTS
