Use the given function:

Question

\(f(x)\) = {2x+1,if −2≤x<4|

               {x⁄2   ,if 4≤x≤8  |

Find the value of f(x) at x = 2 and 6.

A. 5 and 3
B. 5 and 7
C. 2 and 3
D. 1 and 3

Answer 1

 

This is a piecewise function.

 

To evaluate at x = 2

 

     Since -2≤2≤4, we evalute using the function rule f(x) = 2x+1

                           

     f(2) = 2(2) + 1

            = 4 + 1

            = 5

 

To evaluate at x = 6

 

      Since 4≤6≤8, we evaluate using the function rule f(x) = x/2

 

       f(6) = 6/2

              = 3

 

The answer is A ... 5 and 3