The two linear functions for the given mode function y = 2|x - 2| + 4 will be y = -2x + 8 and y = 2x.
A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varieslinearly with respect to the changing variable.
As per the given mode function,
y = 2|x - 2| + 4
For x < 2 , |x - 2| = -(x - 2)
y = -2(x - 2) + 4
y = -2x + 4 + 4
y = -2x + 8
For x > 2, |x - 2| = x - 2
y = 2(x - 2) + 4
y = 2x - 4 + 4
y = 2x
Hence "The two linear functions for the given mode function y = 2|x - 2| + 4 will be y = -2x + 8 and y = 2x".
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Answer:
f(x) = -2x + 8, x < 2
g(x) = 2x, x 》2
Step-by-step explanation:
|x - 2| is:
x - 2, for x 》2
-x + 2, for x < 2
For x < 2,
f(x) = 2(-x + 2) + 4
f(x) = -2x + 8
For x 》2,
g(x) = 2(x - 2) + 4
g(x) = 2x
x=0
B.
x=12
C.
x=72
D.
x=11
Answer:
9
Step-by-step explanation:
|6|+|-3|=9