Option D, the function is graphed. And the condition is y = {x² +4,x<2
-x+4, x >2
<h3>What is a function?</h3>
In a mathematical function from a set X to a set Y, exactly one element of Y is assigned to each element of X. The function's codomain and domain are respectively referred to as the sets X and Y as a whole.
Functions were initially thought of as the relationship between varying quantities and other variables. The impact of time on a planet's position serves as an example of this. The concept was historically developed with the development of infinitesimal calculus at the end of the 17th century, and up until the 19th century, the functions taken into consideration were differentiable.
Let us check option A first
y={x² +4, x≤ 2
-x+4, x<2
For, x² +4, x≤ 2
x 2 1 0 -1 -2
y 3 5 4 5 8
Here, the condition is satisfied
Now, we have to check the condition
-x+4, x<2
The condition is not satisfied.
Similarly, we have to check all the options.
And finally by checking all the conditions,
Option D is correct and the conditions are
y = {x² +4,x<2
-x+4, x >2
Therefore, the option D function is graphed.
To know more about the function, visit:
brainly.com/question/12561612
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