meredith48034
meredith48034 meredith48034
  • 03-02-2020
  • Mathematics
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Error Analysis: Describe and correct the error a student made in expressing the function. f(x) = 3|x| as a piecewise-defined function​

Error Analysis Describe and correct the error a student made in expressing the function fx 3x as a piecewisedefined function class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 04-02-2020

Answer:

  • The comparison symbols need to be reversed
  • f(x) = {3x, x≥0; -3x, x<0}

Step-by-step explanation:

The absolute value function is {x, x≥0; -x, x<0} That needs to be multiplied by 3 to get the f(x) in the given problem.

  f(x) = 3|x| = 3{x, x≥0; -x, x<0}

  f(x) = {3x, x≥0; -3x, x<0} . . . . correct function definition

Compared to the student's answer, the student has reversed the comparison symbols.

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