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Graph the piecewise function. −2x−5, x<−3 (x) = {x − 3, − 3 ≤ x < 1 x+2, x≥1 Give the Domain and Range. Domain_____________________ Range_______________________



Answer :

sqdancefan

Answer:

  Domain: all real numbers

  Range: -6 ≤ y < -2 ∪ 1 < y

Step-by-step explanation:

You want the graph and domain and range of the piecewise function ...

  [tex]f(x)=\begin{cases}-2x-5,\qquad x < -3\\x-3,\qquad -3\le x < 1\\x+2,\qquad x\ge1\end{cases}[/tex]

Graph

The graph is shown in the attachment.

Domain

The function is defined for all values of x, so the domain is ...

  "all real numbers"

Range

The graph extends upward from y = -6, but there is a gap in y-values between -2 and 1. The range must exclude that region:

  -6 ≤ y < -2  ∪  1 < y

View image sqdancefan

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