Answer with explanation:
the function f(x) is given by:
f(x)= x+4 when -4 ≤ x <3
and 2x-1 when 3 ≤ x <6
- i.e. in the interval [-4,3)
the graph is a increasing line since the slope of the graph is positive i.e. 1 ( By comparing with the slope intercept form of a line y=mx+c where m is the slope of the line and c is the y-intercept of the line )
and there is a open circle at (3,7)
because the function is defined as x+4 for x<3
i.e,. when x=3
then x+4=7
- Also in the interval [3,6)
the graph is a increasing line since the slope is positive ( since the slope is 2 ) and there is a open circle at (6,11)
since the function is defined for x<6
and when x=6
then 2x-1=11