Answer:
i)D:[tex]x\in R[/tex]
ii)R: [tex]y\ge1[/tex]
iii) Y-int:(0,4)
Step-by-step explanation:
i) The given absolute value function is;
[tex]f(x)=|x-3|+1[/tex].
The absolute value function is defined for all real values of x.
The domain is all real numbers.
ii) The range is all y-values that will make x defined.
The given function,
[tex]f(x)=|x-3|+1[/tex].
has vertex at, (3,1) and opens upwards.
This implies that, the minimum y-value is 1.
The range is [tex]y\ge1[/tex]
iii) To find the y-intercept substitute x=0 in to the function.
[tex]f(0)=|0-3|+1[/tex].
[tex]f(0)=|-3|+1[/tex].
[tex]f(0)=3+1[/tex].
[tex]f(0)=4[/tex].
The y-intercept is (0,4)
See attachment for graph.
