Question

The function f(x) is graphed. Determine whether f(x) has an odd or even degree and a positive or negative leading coefficient. I'll attach the graph but can someone please help?

Answer 1

this is a cubic function as there are 3 zeros (graph cuts the x-axis in 3 places)this should help o answer the question

Answer 2

what is the degree of the function?

Answer 3

I have no idea and does that mean it had an odd degree?

Answer 4

degree 3 - odd degree

Answer 5

I'm really confused..

Answer 6

degree 3 = odd degree because it is some ax^3. and you are raising the x to an odd power. It is also positive since the derivative of the function is positive.

Answer 7

an equation of degree 3 (containing an x^3 as caters said) will have 3 zeros - indicated by the 3 intersections on the x-axis.

Answer 8

and those may be 3 reals, 2 reals and 1 complex(as it is in this case), or 1 real and 2 complex but a cubic function or any function of odd degree unlike even degree functions will always have at least 1 real root.

Answer 9

Ohh I see now thanks so much!

Answer 10

yw