Consider the graph of f(x) below.

write the equation of f(x), and classify the function as linear, quadratic, cubic, exponential, or logarithmic.

Cubic

Step-by-step explanation:

Linear function is a function which graph is a straight line,

According to the given graph,

Function f(x) is not a line,

Hence, it can not be a linear function.

The quadratic function is a curved function which has two roots that is its graph has two coordinate intercept.

But f(x) has three roots ( by the graph )

That's why it can not be quadratic function.

The cubic function is also a curved function that has three roots,

And, f(x) has three roots ( shown in the graph)

⇒ It is a cubic function.

Exponential or logarithm function  is a function that shows exponential growth or decay.

But f(x) is not growing or decaying exponentially.

That's why it is not an exponential or logarithm function.

you're missing vital information, add to it so we can solve this problem for you.

step-by-step explanation:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: