Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=-\sqrt{x+1}[/tex]
Find the intercepts
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0 -----> [tex]y=-\sqrt{0+1}=-1[/tex]
The y-intercept is the point (0,-1)
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0 -----> [tex]0=-\sqrt{x+1}[/tex] ----->[tex]x=-1[/tex]
The x-intercept is the point (-1,0)
Find the domain
we know that
The radicand must be positive
so
[tex]x+1\geq0[/tex]
[tex]x\geq-1[/tex]
All real numbers greater than or equal to -1
The range is all real numbers less than or equal to -1
using a graphing tool
see the attached figure
