meredith48034
meredith48034 meredith48034
  • 03-02-2020
  • Mathematics
contestada

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.

Answer Link

Otras preguntas

HOW DOES MRS. DUBOSE SHOW PERSEVERANCE IN THE BOOK TO KILL A MOCKINGBIRD
which word best describes the early beginnings of Islam
4% of what number is 5
Which elements are pieced together to create a theme in a piece of music
who provided evidence for the existence of a nucleus in an atom
This refers to the most powerful European navy in the 16th century, until its defeat in 1588 at the hands of the British.
The bases of a circular cylinder are two ____ circles.
Both an independent clause and a dependent clause... B. have the same subject C. share the same verb
Which of the following would someone be tempted to shirk
in the story "Thank You, M'am," by langston hughes, Roger tries to steal mrs.jones's purse, and mrs.jones grabs hin and brings him home to teach him a lesson. W