QUESTION 9Find the zeros of the function fx x32x 7 and descr

QUESTION 9.Find the zeros of the function f(x) (x+3)(2x -7) and describe its end behavior.

Solution

Zeros :
(x +3)(2x - 7) = 0
x + 3 = 0 , 2x - 7 = 0
x = -3 and x = 7/2 ---> ANS

End behavior :
When we expand, we get
f = 2x^2 - x - 21

Clearly degree =even
and leading term is positive

So, endbehavior \"
As x --> -inf, y ---> +inf
As x ---> +inf, y ---> +inf

As in, the graph goes up on both ends