Question #3e8a6

1 Answer
Feb 14, 2018

#f(4)# could be any real number.

Explanation:

To see this graphically:

On a coordinate system, mark the points given points: #(2,7)#, #(3,9)#, and #(5,7)#.
Connect the first two with a line segment.

Now put in a point with #x#-coordinate #4# and any #y# coordinate you choose. I'll call it #d#. So you've marked a point #(4,d)#.
Now connect #(3,9)# and #(4,d)# with a line segment and connect #(4,d)# and #(5,7)# with a line segment.

Note. instead of line segments you could use any continuous curve(s) you choose to connect the 4 points.