Answer to Question #236695 in Calculus for CCW

Question #236695

Graph the piecewise function below

h(x) = { y= 3x + 2 if -2 < x < 1

y= 1/2x - 1 if x < -2

What is domain? (Interval notation)

What is range? (Interval notation)


1
Expert's answer
2021-09-19T18:19:46-0400

"h(x) = \\begin{cases}\n y= 3x + 2 &\\text{if } -2 < x < 1 \\\\\n y= \\frac{1}{2}x - 1 &\\text{if } x < -2\n\\end{cases}\\\\"


Now, domain for the given function is "x\\in" "(-\\infty,-2)\\cup(-2,1)" [From graph]

At "x=1," we get "y=5"

Range is "(-\\infty,-4)\\cup(-4,-2)\\cup(-2,5)"

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