Posted by Crystal on .
Which of the following describes the end behavior of the graph of the function
f(x) = –2x^5 – x^3 + x – 5
A.Downward to the left and upward to the right
B.Upward to the left and downward to the right
C.Downward to the left and downward to the right
D.Upward to the left and upward to the right

Algebra 
Reiny,
get a "feel" for the numbers.
for large values of x, isn't the first term "hugely negative" ?
for large negative values of x, isn't the first term 'hugely positive' ?
so where does the graph tend to go ? 
Algebra 
Crystal,
Aren't both terms negative? I was going to say the answer was
B. Upward to the left and downward to the right
but you make it sound like
A.Downward to the left and upward to the right 
Algebra 
Reiny,
no,
read my reply again
try x = 10 and x = 10 (values which arent' even "large")
the term that dominates is 2x^5
for x=10, x^5 = 100000
and 2x^5 = 200000
if x=10, 2x^5 = =2(100000) = +200000
so what does the graph do?
You are right, it goes upward to the left and downward to the right, as I also suggested in my first reply.