losx at uadn As x oo gx Solution5 fx x4x10 As x approaches

Solution

5) f(x) = -x⁴+x¹⁰

As x approaches infinity, we are looking at end behaviour of this polynomial

For this we look at leading term coefficient.The leading term here is x^10 that is highest degree term and degree of this polynomial is 10 so even degree polynomial

Now x¹⁰ = 1.x¹⁰ => coefficient of x¹⁰ is 1 and 1 >0

For even degree polynomial , if the leading coefficient is positive, both the ends are up

hence as x approaches -inifnity, the function f(x) approaches infnity

6) g(x) = -x⁴+x¹¹

Degree of this polynomial is 11 and coefficient of x¹¹ =1>0

In case of odd degree polynomial, the ends go in opposite directions and if leading coefficient is positive, then as x approaches -infinity, the polynomial goes to -infinity

Hence as x aproaches -inifnity, the g(x) approaches -infinity