SOLUTION: Which of the following describes the end behavior of the graph of the function f(x) = 4x5 � x + 10 ? Explain. A. Upward to the left and downward to the right(i think

Click here to see ALL problems on Polynomials-and-rational-expressions

Question 472075: Which of the following describes the end behavior of the graph of the
function f(x) = 4x5 � x + 10 ? Explain.

A. Upward to the left and downward to the right(i think this is the correct answer)
B. Downward to the left and upward to the right
C. Upward to the left and upward to the right
D. Downward to the left and downward to the right

Found 3 solutions by rfer, stanbon, richard1234:
Answer by rfer(16322)   (Show Source):
You can put this solution on YOUR website!
It looks like (B) passing through (0,10)

Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
Which of the following describes the end behavior of the graph of the
function f(x) = 4x^5 � x + 10 ? Explain.
----
Ans: 4x^5 determines the end behavior of the graph.
---
As x goes to -oo, 4x^5 goes to -oo (or downward)
---
As x goes to +oo, 4x^5 goes to +oo (or upward)
----A
Ans: B
=============
Cheers,
Stan H.
=============
A. Upward to the left and downward to the right(i think this is the correct answer)
B. Downward to the left and upward to the right
C. Upward to the left and upward to the right
D. Downward to the left and downward to the right

Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website!
Note that for polynomial functions, the limit as x goes to infinity will be determined by the leading coefficient. You can pretty much ignore the -x+10 terms and determine the limits of 4x^5 when x approaches infinity or negative infinity (should be pretty straightforward). B is the correct answer.