Question 672525
If the cruise control is set at 60 miles per hour, the speed will be 60 miles per hour for as long as the cruise control is engaged and not changed.
 
a. {{{f(x)=60}}} {{{graph(300,300,-10,90,-10,90,60)}}}
 
b. {{{drawing(500,100,0,8,-2.5,0.5,
line(-1,-1,9,-1),
line(1,0.5,1,-2.5),line(2,0.5,2,-2.5),
line(3,0.5,3,-2.5),line(4,0.5,4,-2.5),
line(5,0.5,5,-2.5),line(6,0.5,6,-2.5),
line(7,0.5,7,-2.5),
locate(0.5,0.1,x),locate(0.3,-1.5,f(x)),
locate(1.5,0.1,0),locate(1.3,-1.5,60),
locate(2.5,0.1,1),locate(2.3,-1.5,60),
locate(3.5,0.1,2),locate(3.3,-1.5,60),
locate(4.5,0.1,3),locate(4.3,-1.5,60),
locate(5.5,0.1,4),locate(5.3,-1.5,60),
locate(6.5,0.1,5),locate(6.3,-1.5,60),
locate(7.5,0.1,6),locate(7.3,-1.5,60)
)}}}
 
c. I would say that {{{f(x)}}} is a constant function. (That is a special case of a linear function).