Graph each polynomial function. Factor first if the expression is not in factored form. f(x)=(3x-1)(x+2)^2

rocedwrp

rocedwrp

Answered question

2021-06-11

Graph each polynomial function. Factor first if the expression is not in factored form.
f(x)=(3x1)(x+2)2

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-06-13Added 169 answers

Your answer is on video
Ian Adams

Ian Adams

Skilled2021-08-04Added 163 answers

Step 1
f(x)=(3x1)(x+2)2 The function in factored form
The function has two zeros 13 and -2
So, the graph of f(x) crosses the x-axis at (13,0)and(2,0)
To find the y-intercept, substitute 0 for x in f(x)
f(x)=(3x1)(x+2)2
f(0)=(3(0)1)(0+2)2 Substitute 0 for x
=(1)(2)2 Simplify
=4
So, the function f(x) crosses the y-axis at (0,4)
Step 2
3x(x)2=3x3
The leading coefficient is 3
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
image

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