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The absolute value function can be defined using piecewise notation.

21 viewed last edited 5 months ago
Anonymous
0

G(x) = \left \{ \begin {array} {} x & \quad x \geq 0 \\ -x & \quad x \lt 0 \end{array} \right.


Use this notation to find the following values:

  1. G(5)
  2. G(0)
  3. G(-2)
  4. G(2.3413)
  5. G(x)=4
  6. G(x)=-3


Sangeetha Pulapaka
0
  1. 5 \gt 0 and we have when x \geq 0,G(x) = x, plugging x = 5 we have G(5) = 5
  2. 0 = 0 and we have when x \geq 0, G(x) = x, plugging x = 0 we have G(0)= 0
  3. -2 \lt 0 and we have x \lt 0,G(x) = -x, plugging x = -2 we have G(-2) = -2
  4. 2.3413 \gt 0 and we have when x \geq 0 , G(x)=x, plugging x = 2.3413 we have G(2.3413)= 2.3413
  5. G(x) = 4 so the value of x will be x\geq 0
  6. G(x) = -3 so the value of x will be x \lt 0


Skills to recall:

What is an absolute value function

https://www.varsitytutors.com/hotmath/hotmath_help/topics/absolute-value-functions

What is a piece wise function

https://www.mathsisfun.com/sets/functions-piecewise.html