Question

Without using technology, describe the behavior of f(x)=

Answer 1

The behavior of f(x) from given options is option (4) up on the left, up on the right.

What is the behavior of function:

A function f(x) 's end behavior is how the graph of the function f(x) behaves as x gets closer to positive or negative infinity. The functions degree or the polynomial degree and leading coefficient of a given function will determine the end behavior of the function.

Here we have

f(x) = 3x³² + 8x² - 22x + 43

Here

polynomial degree of f(x) is 32

And leading coefficient is 3  

Therefore,

The leading term of the given function is 3x³²

As the given polynomial has an even degree (32) and positive leading coefficient (3) then the graph will open upwards on both left and right.

Therefore,

The behavior of f(x) from given options is option (4) up on the left, up on the right.

Learn more about the End behavior of the function at

brainly.com/question/18076811

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