Question

PLEASE HELP!!!!

Which of the following functions is graphed below?!?

Answer 1

The given graph is for a piecewise function consisting of two intervals:

(1) x ≤ 1 ⇒⇒⇒ the graph in this interval like a cubic function.

(2) x > 1 ⇒⇒⇒ the graph in this interval like a quadratic function

By comparing to the given options

The answer is option c.

Answer 2

Option C is correct.

Step-by-step explanation:

A piece-wise function is a function which is defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain.

From the graph we can see that the function is made up of 2 pieces.

Solid dot means- Including

Open-dot means - not- including.

As we can see that the boundary lines are at x=1.

We have to look each line separately to determine each equation:

when
`x>1`, it gives the function
`y=x^2+4` and

when
`x\leq 1`, it gives the function
`y =x^3-2`.

So, the piece-wise function is:

`y=\left \{ {{x^3-2}, x\leq1 \atop {x^2+4}, x>1} \right.`