The subfuctions of the piecewise function f(x) are linear functions
The matching values of the domain values with the range values are
x f(x)
-4 -7
-2 -8
0 -2
2 4
4 -4
8 -12
How to evaluate the piece-wise function?
The function is given as:
[tex]f(x) = \left[\begin{array}{cc}x-3&x\le-4\\3x-2&-4 < x\le 2\\-2x+4&x > 2\end{array}\right][/tex]
The above definition means that:
- All x values less than or equal to -4 would be evaluated using f(x) = x - 3
- All x values greater than -4 but less than or equal to 2 would be evaluated using f(x) = 3x - 2
- All x values greater than 2 would be evaluated using f(x) = -2x + 4
Using the above highligts, we have:
f(-4) = -4 - 3 = -7
f(-2) = 3(-2) - 2 = -8
f(0) = 3(0) - 2 = -2
f(2) = 3(2) - 2 = 4
f(4) = -2 * 4 + 4 = -4
f(8) = -2 * 8 + 4 = -12
So, the matching values are
x f(x)
-4 -7
-2 -8
0 -2
2 4
4 -4
8 -12
Read more about piecewise functions at:
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