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
<em>The function starts from the bottom of quadrant 3: </em><u>Starts lower left</u>
<em> and goes up through the x-axis at (0, negative 0.25) </em>: This is ONE ROOT
<em>and then through the y-axis at (0, 2). : It's now on the 2nd quartile</em>
<em>It then starts to curve down at (0.5, 4): It's moving towards y=0</em>
<em>until it reaches (1.75, negative 0.5).: </em>It has now passed y=o and there are TWO ROOTS
<em> It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3: </em>It has passed y=0 again, so there are THREE ROOTS
This polynomial function has 3 ROOTS
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