Question

Consider the graph of f(x) below.


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

Answer 1

I've searched online on what a graph look like in each given function and based on my online search, the given image of of the equation f(x) is a CUBIC FUNCTION.

A cubic function is like this: f(x) = ax³ + bx² + cx + d

The given graph can have this equation:

y = (x + 1) (x - 1) (x - 3)

Answer 2

Answer: 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.