The completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)
<h3>How to factor the expression?</h3>
The expression is given as:
f(x) = 6x³ - 13x² - 4x + 15
Expand the expression
f(x) = 6x³ - 19x² + 6x² + 15x - 19x + 15
Rewrite as:
f(x) = 6x³ + 6x² + 15x- 19x² - 19x + 15
Factorize the equation
f(x) = (x + 1)(6x²- 19x + 15)
Expand (6x² - 19x + 15)
f(x) = (x + 1)(6x² - 10x - 9x + 15)
Factorize the expression
f(x) = (x + 1)(2x - 3)(3x - 5)
Hence, the completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)
Read more about factorized expression at:
brainly.com/question/7438300
First we have to find derivative of f(x):

For x=2 we have:

Now, 
Hence, the answer is A) 2
Answer:
The function machine metaphor helps explain the definition and properties of a function. ... One tool for understanding functions is the function machine metaphor. Once you ... We can imagine it is some machine that does this transformation.
Step-by-step explanation:
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:symmetry/v/function-symmetry
this might help you.
It would be the first answer, the graph if g(x) is the graph of f(x) translated 2 units left
This is because the +2 is in the parentheses with the x which makes it move left or right and because it’s positive you would do the opposite and more it left