Graph each polynomial function. Factor first if the expression is

UkusakazaL

UkusakazaL

Answered question

2021-08-16

Graph each polynomial function. Factor first if the expression is not in factored form. f(x)=2x(x3)(x+2)

Answer & Explanation

hosentak

hosentak

Skilled2021-08-17Added 100 answers

Step 1
f(x)=2x(x3)(x+2) The function in factored form
The function has three zeros 0,3, and -2
So, the graph of f(x) crosses the x-axis at (0,0),(3,0), and (-2,0)
To find the y-intercept, substitute 0 for x in f(x)
f(x)=2x(x3)(x+2)
f(0)=2(0)(03)(0+2) Substitute 0 for x
=0
So, the function f(x) crosses the y-axis at (0,0)
Step 2
2xxx=2x3
The leading coefficient is 2
Since the leading coefficient is positive and the function f(x) of degree 3 (odd degree)
So, the end behavior is
x,f(x)
x,f(x)
See the graph below

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?