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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
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2+0 Answers

 #1
avatar+86528 
+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
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0

Yes, Thanks so much

Guest Mar 11, 2018

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