SOLUTION: GRAPH THE PIECEWISE - DEFINED FUNCTION F(X)={-1/4 X SQUARED + 3 FOR X LESS THAN OR EQUAL TO 2 AND 1/4 X FOR X GREATER THAN 2}

Algebra.Com
Question 668011: GRAPH THE PIECEWISE - DEFINED FUNCTION F(X)={-1/4 X SQUARED + 3 FOR X LESS THAN OR EQUAL TO 2 AND 1/4 X FOR X GREATER THAN 2}
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
GRAPH THE PIECEWISE - DEFINED FUNCTION F(X)={-1/4 X SQUARED + 3 FOR X LESS THAN OR EQUAL TO 2 AND 1/4 X FOR X GREATER THAN 2}

f(x) = 

Below is the full graph of y = 
and to the right is the graph with the part to the right
of x=2 chopped off and a solid darkened circle at the
endpoint at 2 since that point (2,2) IS included in the 
final graph of the piecewise function f(x)





Below is the full graph of y = 
and to the right is the graph with the part to the left
of x=2 chopped off and a open circle at the
endpoint at 2 since that point (2,) IS NOT included in the 
final graph of the piecewise function f(x).



Now we put those chopped-off graphs together, and we have this:



That's the graph of

f(x) = 

Edwin

RELATED QUESTIONS

Piecewise function f(x){ 2, x less than -1 3 + x, x greater than or equal to -1... (answered by CubeyThePenguin)
Is the function f of x equals the quantity 2 times x plus 1 for x less than or equal to 4 (answered by Boreal)
Is the function f of x equals the quantity 2 times x plus 1 for x less than or equal to 4 (answered by Boreal)
graph the following piecewise function using the table method. f(x) = x+4 (answered by Fombitz)
For the following piecewise defined function find f(0). (Note: x^2 means (X squared)... (answered by )
How would I graph this piecewise function? y= {1 if x is less than 0} {2 if 0 is... (answered by Edwin McCravy)
Over what interval is the following piecewise function increasing? {-1-x for... (answered by stanbon)
I don't know if this is under the correct subject. I have to graph a piecewise... (answered by Thanenjayan)
For the following piecewise defined function find f(-1) f(x)={x^2+1,......x<0... (answered by )