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Use the graph to determine the domain and range of the relation, and whether the relation is a function.


a. Domain: {x| -8, 8}; Range: all real numbers; No, it is not a function.

b. Domain: {x| -8 x 8}; Range: all real numbers; Yes, it is a function.

c. Domain: {x| -8 x 8}; Range: all real numbers; No, it is not a function.

d. Domain: {x| -8 x 8}; Range: {y| -12 x 12}; Yes, it is a function

Use the graph to determine the domain and range of the relation and whether the relation is a function a Domain x 8 8 Range all real numbers No it is not a func class=

Respuesta :

Answer:

A

Step-by-step explanation:

We can use vertical line test to determine if a relation is a function.

If a vertical line passes the graph at any point only once, then the relation is a function, if there is even 1 line that passes the graph at 2 points, then it is NOT a function.

The domain is the set of allowed x-values of the function. The range is the set of allowed y-values of the function.

  • Looking at the graph, we see that there are a lot of vertical lines that cuts the graph two times. Suppose x=3, x=4, x= 5 etc. So it is not a function.
  • As for domain, we see that curve swings from x = -8 to x = 8, so the domain is from -8 to 8.
  • As for range, we that the curve stretches all the way from negative infinity to positive infinity, so the range is the set of all real numbers.

Correct answer is A