Piecewise function radians and numbers ?

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SUMMARY

The discussion focuses on interpreting and graphing a piecewise function defined as (x − 1)^2 for x > 1 and tan x for −π/2 < x ≤ 0. It clarifies that radians are a unit for measuring angles, with π/2 radians approximately equal to 1.57. Additionally, the function is explicitly stated to be undefined for the interval 0 < x ≤ 1, highlighting the importance of understanding domain restrictions in piecewise functions.

PREREQUISITES
  • Understanding of piecewise functions
  • Knowledge of trigonometric functions, specifically tangent
  • Familiarity with radians and their conversion to degrees
  • Basic graphing skills for mathematical functions
NEXT STEPS
  • Study the properties of piecewise functions in detail
  • Learn how to graph trigonometric functions, focusing on the tangent function
  • Explore the concept of radians versus degrees in angle measurement
  • Investigate domain restrictions and their implications on function behavior
USEFUL FOR

Students studying calculus, mathematics educators, and anyone interested in understanding piecewise functions and their graphical representations.

fran1942
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Hello, I have encountered the following piecewise function:

(x − 1)^2 if x > 1
tan x if −π/2 < x ≤ 0

How would I interpret/graph this, as it seems to be referring to radians and regular numbers ?
Thanks for any help.
 
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Radians are a way to name angles. With radians, you would say pi/2 radians. pi/2 is just a number, equal to approx 1.57
 
Your function, by the way, is not defined for [itex]0< x\le 1[/itex].
 

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