Answer :
Answer:
[tex]Domain = (-\infty,-2)[/tex] --- quadratic function
[tex]Domain = (-2,6)[/tex] --- linear function
[tex]Domain = (6,\infty)[/tex] --- 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:
[tex]Domain = (-\infty,-2)[/tex]
The straight line that starts at -2 and ends at 6 is a linear function.
So, the domain is:
[tex]Domain = (-2,6)[/tex]
Lastly, the square root function begins at 6. So, the domain is:
[tex]Domain = (6,\infty)[/tex]
The domains of the different function types are as follows:
The domain of the quadratic function is (-∞, -2).
The domain of the linear function is (-2, 6).
The domain of the square root function is (6, ∞).
A function can be defined as an expression in terms of variables.
From the given graph, it is evident that the curve of the quadratic function terminates at -2, therefore, the domain of the quadratic function is given as follows:
Domain = (-∞, -2)
Then, the straight line begins at -2 and terminates at 6, therefore, the domain of the function of the straight line is given as follows:
Domain = (-2, 6)
At last, the square root function begins at 6, therefore, the domain of the square root function is given as follows:
Domain = (6, ∞)
Thus, the domains of the quadratic function, linear function, and square root function are (-∞, -2), (-2, 6), and (6, ∞), respectively.
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