Please help answer the attached worksheet.  Thank you!!

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kingattaskus12 eNotes educator| Certified Educator

Guidelines: We can say that the graph is a function if it passes the vertical line test, it means that if you draw a vertical line anywhere in the graph, the line will only intersect the function once. It indicates that there is only one corresponding y-values for every x-values.The arrow head indicates that the line goes off upto infinity. Also, when writing the solution in interval form, the bracket indicates that the number is included in the solution while the parenthesis exclude that number in the solution. Moreover, the solution inside the braces are only single element.

#1 The graph of the function passes the vertical line test.  So, the domain(x-values) is all real numbers except the interval between 2 and 4 and the range(y-values) is from -2 up to infinity.

Function:Yes

Domain:`(-oo,2]uu[4,oo)`

Range: `[-2,oo)`

#2  The graph do not pass the vertical line test. We can see that the x-values from the interval `[-4,-1)` has two corresponding y values between that interval.

Function:No

Domain:`(-oo,oo)`

Range:`[-2,oo)`

#3 The graph do not pass the vertical line test. We can see that the x-values from the interval `(-9,-5)` has two corresponding y values between that interval.

Function:No

Domain:`(-9,9)`

Range: `(-5,6)`

#4 The function has a vertical line. So the graph do not pass the vertical line test.

Function:No

Domain: `{-7}uu[-5,2]uu{7}`

Range: `(-oo,oo)`

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