Question

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Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the statement that could be true for g.

Answer 1

Given :   g(x) has a domain -1≤ x ≤4  and range is 0≤ g(x)≤ 18

               g(-1) = 2 g(2) = 8

To Find :  Correct statement for g(x)

Step-by-step explanation:

• Step 1 : OPTION 1 , g(3) = 18

         Option 1 is true  because 3 is in domain of g(x) and 18 is in range of          g(x)                  

• Step 2 : OPTION 2 , g(1) = -2

             Option 2 is not true because because -2 is not in range of g(x)

• Step 3 : OPTION 3, g(5) = 12

             Option 3 is not true because 5 is not in domain of g(x)

• Step 4 : OPTION 4 , g(2) = 4

              Option 4 is not true because it is given is question that g(2)=8 and in function one element of domain can not have more than one image

OPTION 1 g(3) = 18  is true