Question

Can someone help me with either one of these problems and explain how you got the answers please

Answer 1

`\text{2. }\\\text{We can observe that the x-values(domain) of the function is -5 to 5, so the }\\\text{domain is (-5, 5].}\\\text{Now the vertical extent of the graph is -2 to 2, so the range of the function is }\\\text{(-2, 2].}`

`\text{An important concept to be known, the white circle on the point (-5, -2)}\\\text{indicates that x = -5 and y = -2 are excluded from the function. So we use }\\\text{round parenthesis for -5 and 2.}\\\text{If there was a dark circle, then the domain and range of the function would be }\\\text{[-5, 5] and [-2,2] respectively.}`

`\text{3. }\\\text{We can see that the horizontal range of the graph has no limit from left to right,}\\ \text{so the domain of the function is }(-4,}\infty).`

`\text{Now the vertical extent of the graph has no limit from top to bottom, so the }\\\text{range of the function will be }(-\infty, \infty).`

`\text{Note that the domain and range are always written from smaller to larger values,}\\\text{or from left to right for domain, and from the bottom of the graph to top for}\\\text{range.}`