On a number line, the signed distance from a number a to a number b is given by b – a. The function d(x) gives the signed distance from 3 to any number x.

Question

Write and graph the function described. determine the domain and range. tell whether the function is continuous or discrete.

Answer 1

d(x) = 3-x

 

this graphs as a line having x intercept 3 and y intercept 3.  

draw the line through those two axis intercepts and you're done.

 

domain: all Reals

range: all Reals

the line is continuous.