Use the graph to determine the domain and range of the relation and wether the relation is a function

C. Domain: {}, Range: all real numbers;No, it is not a function

Step-by-step explanation:

From the diagram in the attachment, the domain is  {}.

The reason is that, the furthest the graph could extend is 8 to the right and left of the y-axis.

The range of the relation is all real numbers. The reason is that, the graph extends up above and below the x-axis without bounds.

The relation is not a function, because its graph failed the vertical line test.

See graph

The correct answer is C.

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)