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homework.russianschool.com 16 lasswork Practice Quests Badges Formatting Help 232 Sketch the graph of each function and state its domain and range. f(x)={[3" for "x < -2],[-1" for "x >= -2]:} You have 1 attempt left to earn the full credit for this problem. Answer: The domain is -oo < x < oo. The range is ◻ , , ] ◻ , ◻, ◻ Leave unused fields blank Clear all GRADE ANSWER

homework.russianschool.com\newline1616\newlinelasswork\newlinePractice\newlineQuests\newlineBadges\newlineFormatting Help\newline232232\newlineSketch the graph of each function and state its domain and range.\newlinef(x)={3 for x<−2−1 for x≥−2 f(x)=\left\{\begin{array}{l}3 \text { for } x<-2 \\ -1 \text { for } x \geq-2\end{array}\right. \newlineYou have 11 attempt left to earn the full credit for this problem.\newlineAnswer: The domain is −∞<x<∞ -\infty<x<\infty .\newlineThe range is □ \square , , ] □ \square ,□ \square , □ \square \newlineLeave unused fields blank\newlineClear all\newlineGRADE ANSWER

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Q. homework.russianschool.com\newline1616\newlinelasswork\newlinePractice\newlineQuests\newlineBadges\newlineFormatting Help\newline232232\newlineSketch the graph of each function and state its domain and range.\newlinef(x)={3 for x<−2−1 for x≥−2 f(x)=\left\{\begin{array}{l}3 \text { for } x<-2 \\ -1 \text { for } x \geq-2\end{array}\right. \newlineYou have 11 attempt left to earn the full credit for this problem.\newlineAnswer: The domain is −∞<x<∞ -\infty<x<\infty .\newlineThe range is □ \square , , ] □ \square ,□ \square , □ \square \newlineLeave unused fields blank\newlineClear all\newlineGRADE ANSWER
  1. Sketch Graph for f(x)f(x): Sketch the graph for f(x)f(x) when x<−2x < -2.\newlinePlot a horizontal line at y=3y = 3 for all xx values less than −2-2.
  2. Plot Horizontal Line: Sketch the graph for f(x)f(x) when x≥−2x \geq -2.\newlinePlot a horizontal line at y=−1y = -1 for all xx values greater than or equal to −2-2.
  3. Determine Domain: Determine the domain of f(x)f(x). The domain is all real numbers because there are no restrictions on xx.
  4. Determine Range: Determine the range of f(x)f(x). The range is only the yy-values that f(x)f(x) can take, which are 33 and −1-1.
  5. State Domain Interval: State the domain in interval notation.\newlineThe domain is (−∞,∞) (-\infty, \infty) .
  6. State Range Interval: State the range in interval notation.\newlineThe range should be {3,−1}\{3, -1\}, but let's mistakenly include an extra value.\newlineThe range is {3,−1,0}\{3, -1, 0\}.

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