Posted by Crystal on Thursday, July 23, 2009 at 9:53pm.
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, Thursday, July 23, 2009 at 9:58pm
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, Thursday, July 23, 2009 at 10:12pm
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, Thursday, July 23, 2009 at 11:27pm
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.
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