Lesson 2.11: Piecewise Defined Functions Answers

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g (x) = StartLayout Enlarged left-brace First row x + 4, negative 5 less-than-or-equal-to x less-than-or-equal-to negative 1 Second row 2 minus x, negative 1 less-than x less-than-or-equal-to 5 EndLayout

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Select the rule for each piece.Rule for piece 1: ✔ y = –xy = 1 – xy = x + 1

Rule for piece 2: y = –1X y = 0✔ y = 1

Rule for piece 3: y = –x✔ y = 2 – xX y = x + 2

Complete the definition of the piecewise defined function by identifying the domain of each piece. a = b =

(Negative infinity, infinity) ; (Negative infinity, 4); (Negative infinity, 4 Right-bracket (Negative infinity, 4 Right-bracket

⇒ 4

On a coordinate plane, a piecewise function is comprised of a line and curve. The line starts at open circle (negative 2, 0) and goes toward (negative 4, 4). A curve starts at closed circle (negative 2, negative 8) and goes through open circle at (0, 0). The curve continues through (4, 2). On a coordinate plane, a piecewise function is comprised of 2 lines and a curve. A line starts at a closed circle at (negative 2, 0) and goes through (negative 4, 2). A curve starts at an open circle at (negative 2, negative 4) and curves to an open circle at (0, 0). From the open circle at (0, 0), a line goes through (4, 4). On a coordinate plane, a piecewise function is comprised of 2 curves and a line. A curve starts at closed circle (negative 2, 0) and curves up through (negative 3, 1). A line starts at open circle (negative 2, negative 2) and goes to closed circle (0, 0). A curve starts at closed circle (0, 0) and increases through (1, 1).

Given the graph of the function, f(x), what is the value of f (–2)? f (–2) =

Idenify the domain for the function, f(x).

Idenify the range for the function, f(x).