SOLUTION: please help: Graph the following function: f(x)= {4-x^2 for x≤0 {4-x for x>0

Algebra ->  Graphs -> SOLUTION: please help: Graph the following function: f(x)= {4-x^2 for x≤0 {4-x for x>0      Log On


   



Question 690017: please help: Graph the following function: f(x)= {4-x^2 for x≤0
{4-x for x>0

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
This is a piecewise function. You only graph 4-x^2 when x <= 0, so you basically only graph 4-x^2 for negative x values and 0. This is shown in green

Then you add on the graph of 4-x but you only graph this when x > 0 (ie for positive x only). This is shown in blue.




Note: there is a closed circle at the endpoint of the green graph and an open circle at the endpoint of the blue graph.