Answer:
Domain: (-5, 6]
Range: [-3, 6]
Step-by-step explanation:
Domain is all x-values that can be inputted into function f(x).
Range is all the y-values outputted by function f(x) when we plug in <em>x</em>.
We see that our x-values span from -5 to 6. Since -5 is a open dot, we cannot input -5. Therefore, we have:
Domain: (-5, 6]
Parenthesis on -5 shows that it is not included and bracket on 6 shows it is included.
We see that our y-values span from -3 to 6. Since both points are closed dots, we can include both. Therefore, we have:
Range: [-3, 6]
Brackets on both numbers signify that both values are included in the graph.
Start with the last two choices.
You have x + 5 and x - 5 in the square root.
A square root can never be negative.
That means that the lowest value y can have in the last two choices is 0.
The range does not include -4.
Now look at choice B.
sqrt(x) is at least 0.
Then you add 5.
The range does not include -4.
Now look at choice A.
sqrt(x) is at least 0.
Now you subtract 5.
The lowest value y can have is -5. That includes -4.
Choice A is the answer.
y will be at least 5.
It would be d because she is choosing a line of reflection so she would us a parallel line to line it up to the side of the polygon
