The definition of the piece-wise function is:
- .
<h3>What is a piece-wise function?</h3>
A piece-wise function is a function that has different definitions, depending on the input.
In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:
m = (6 - (-4))/(2 - (-2)) = 2.5.
The y-intercept is of b = 1, hence the rule is:
For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:
.
More can be learned about piece-wise functions at brainly.com/question/27262465
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Answer:
4n + 3
Step-by-step explanation:
d = (-5) - (-1)
= (-5) + 1
= (-4)
dn + (a - d)
4(n) + [(-1) - (-4)]
4n + [(-1) + 4]
<u>4n + 3</u>
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Answer:
Step-by-step explanation:
Given
Required:
Find
Replace f(x) with y
Swap both variables
Make y the subject
Replace y with f-1(x)