+0  
 
0
101
2
avatar

Which graphs represents the function? (Re-Ask)

 

f(x)={ (x+2)^2  if x<-1

         |x|+1       if -1

          -Sqrtx    if x>1 }

Graphs:

 

Graph of a piecewise function. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The function has three branches. The left branch is a quadratic function passing through begin ordered pair negative 4 comma 4 end ordered pair, vertex begin ordered pair negative 2 comma 0 end ordered, and open endpoint begin ordered pair negative 1 comma 1 end ordered pair. The middle branch is an absolute value function with closed endpoint at begin ordered pair negative 1 comma 0 end ordered pair, turning point begin ordered pair 0 comma negative 1 end ordered pair and closed endpoint at begin ordered pair 1 comma 0 end ordered pair. The right branch is a cube root function whose open endpoint is begin ordered pair 1 comma negative 1 end ordered pair and passes through begin ordered pair 4 comma approximately negative 1.59 end ordered pair.

 

 

Graph of a piecewise function. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The function has three branches. The left branch is a quadratic function passing through begin ordered pair negative 4 comma 4 end ordered pair, vertex begin ordered pair negative 2 comma 0 end ordered pair, and open endpoint begin ordered pair negative 1 comma 1 end ordered pair. The middle branch is an absolute value function with closed endpoint at begin ordered pair negative 1 comma 2 end ordered pair, turning point begin ordered pair 0 comma 1 end ordered pair and closed endpoint at begin ordered pair 1 comma 2 end ordered pair. The right branch is a square root function whose open endpoint is begin ordered pair 1 comma negative 1 end ordered pair and passes through begin ordered pair 4 comma approximately negative 2 end ordered pair.

Graph of a piecewise function. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The function has three branches. The left branch is a quadratic function passing through begin ordered pair negative 4 comma 4 end ordered pair, vertex begin ordered pair negative 2 comma 0 end ordered pair, and open endpoint begin ordered pair negative 1 comma 1 end ordered pair. The middle branch is a line segment with closed endpoint at begin ordered pair negative 1 comma 2 end ordered pair and closed endpoint at begin ordered pair 1 comma 0 end ordered pair. The right branch is a square root function whose open endpoint is begin ordered pair 1 comma negative 1 end ordered pair and passes through begin ordered pair 4 comma approximately negative 2 end ordered pair.

 

 

Graph of a piecewise function. The horizontal axis ranges from negative 6 to 6 in increments of 1. The vertical axis ranges from negative 6 to 6 in increments of 1. The function has three branches. The left branch is a quadratic function passing through begin ordered pair negative 4 comma 4 end ordered pair, vertex begin ordered pair negative 2 comma 0 end ordered pair, and open endpoint begin ordered pair negative 1 comma 1 end ordered pair. The middle branch is a line segment with closed endpoint at begin ordered pair negative 1 comma 2 end ordered pair and closed endpoint at begin ordered pair 1 comma 0 end ordered pair. The right branch is a cube root function whose open endpoint is begin ordered pair 1 comma negative 1 end ordered pair and passes through begin ordered pair 4 comma approximately negative 1.59 end ordered pair.

Guest Mar 10, 2018
 #1
avatar+87333 
+1

I think the second function should be

 

lxl + 1  if      -1 ≤ x ≤ 1

 

If so.....the second graph is correct

 

 

cool cool cool

CPhill  Mar 10, 2018
 #2
avatar
0

Yes, Thanks so much

Guest Mar 11, 2018

10 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.