Question

Please help on one question, medal rewarded!!


A function is shown below:
f(x) = x3 + 3x2 - x - 3
Part 1: What are the zeros of f(x)? Show your work. (2 points)
Part 2: What are the steps you would follow to graph f(x)? Describe the end behavior of the graph of f(x). (5 points)

Answer 1

End behavior would be left goes up and right goes down, to find the zeroes you have to factor everything out

Answer 2

There should be 3 zeros as is told by the degree of the function

Answer 3

can you please explain to me how to find the zeros, like step by step because i'm very confused.

Answer 4

Yeah just hold on a sec, I need to get some milk

Answer 5

Okay, so the first you need to do is figure out how many zeros there'll be, that is shown by the degree of the function or the exponent of the first term which in this case is 3

Answer 6

For part 1, you have a 4-term polynomial. I suggest you try factoring by grouping.

Answer 7

For part 2, make a table of (x, y) points and plot it.
For the end behavior, look at the highest degree term. In this case it's x^3.
What happens when x becomes more and more negative (as x approaches negative infinity)? Since x is raised to an odd power, x^3 becomes a more and more negative number.
What happens when x approaches positive infinity? x^3 becomes a larger and large number.
That means end behavior is down to the left and up to the right.

Answer 8

thank you so much! I got it now(:

Answer 9

You're welcome.