Question

Consider the piecewise function shown on the graph, which is composed of three different function types. ----- IMAGE ATTACHED BELOW
Match each piece of the function with its domain.

Answer 1

Answer:

$Domain = (-\infty,-2)$ --- quadratic function

$Domain = (-2,6)$ --- linear function

$Domain = (6,\infty)$ --- square root function

Step-by-step explanation:

Given

The attached graph

Required

The domain of each function

Starting from the left; the first function is the quadratic function.

The curve of the quadratic function stops at -2 So, the domain is:

$Domain = (-\infty,-2)$

The straight line that starts at -2 and ends at 6 is a linear function.

So, the domain is:

$Domain = (-2,6)$

Lastly, the square root function begins at 6. So, the domain is:

$Domain = (6,\infty)$