Power Functions and Polynomial Functions

Question

1

Given the function 

Its -intercept is 

Its -intercept(s) is/are 

Remember that intercepts are points on a graph and thus need to be given in coordinate form.

Answer 1

At the p intercept t=0 . Substitute 0 for t and you get p=0 so p intercept is at (0,0)

To find the T intercepts set the function = to 0

4t^4 + 32t^3 +48t^2=0

4t^2( t^2 + 8t +12) =0

4t^2(t+6)(t+2)=0 T= 0, -6,-2 so coordinates are ((0,0) , ( -6,0) , (-2,0)