From the graph of the function, determine the domain and the range. Domain: (-2, 0) (0,5] Range: (-2,0] [2, 4]

Domain: [-2, 4] Range: (-2, 0] [2, 4]

Domain:(-2, 0) (0, 4) Range: (-2,5]

Domain: (-2, 4] Range: (-2, 0] [2, 4)

Hey there again! :)

This function is a piecewise function and it's different from previous question.

As you may notice, the graphs are separated and some of coordinate points are not a part of domain and range. That's why we have separate domain and range.

First, let's consider that line graph. The one that contains (-2,0) and (0,-2).

Our domain is the set of all x-values. Only (-2,0) is a closed dot. We use [ ] for closed dot and ( ) for opened dot.

Hence, the first domain is [-2,0)

Next, we find the range of line graph or line segment.

Range is the set of all y-values. Hence, the first range is (-2,0]

We are not done yet! We have to find the second domain and range, which is a curve graph.

From the curve graph, our first point starts from (0,4) and ends at (5,4)

Since (0,4) is an opened dot and (5,4) is a closed dot.

Therefore, the second domain is (0,5]

For the range, the minimum point is (3,2) and maximum point is (0,4) and (5,4). Use the y-coordinate to find range.

Hence, the second range is [2,4}

Gathering Both Domain and Range

Combine both domains and ranges.

Hence, the domain is [-2,0] U (0,5] and the range is (-2,0] U [2,4] or The First Choice

Let me know if you have any questions!

Topic: Functions / Domain & Range

the answer is x equals 50, this is because the two angles are the same measurements because they are vertical angles. in corresponding angles, vertical angles are two angles with one diagonally above another. those two angles will be the same measurements.

110 - 10 = 100

100 / 2 = 50

x   = 50

110 = 2(50) + 10 = 110

110 = 110

can u give brainliest if i'm correct?

include a picture of the drawing in order for me to

step-by-step explanation: