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1.2 piecewise function
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Evaluatting a piecewise function
Ex 1;
x < 0 |x-2| x >0|
solution;
f(0)=x-2
f(0)=101-2
f(0)=x > 0
f(0)=141 > 0
f(0)=-2
f(0)=4
Graphing a piece wise function
Solution: The domain is all real numbers. The range is y > -4
My Notes:
y=mx+b=
M=Slope
B=Y intercept
m=-1
b=-4
1)y intercept =-4
2) use slope to find 2nd point
3)drew a line threw the points
4) erase the line to the right of x=0
5)>/< = open circle, = closed circle
Writing a piecewise function
Solution:
f(x) ={x< 0:1x +3x > 0.2x - 1 }
answer; m(x) ={x< 0:1x + 3> 0.2x - 1}
My Notes:
1)identify y-intercept (b)
2)pick two points on the line to find the slope (m)
3)substitute m and b into y=mx+b
4)identify the end point and the x-value
5) < = left, > = right
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