Problem preview

F-IF.7.b Warmup M3-024-A11-V04

Graph square-root, cube-root, absolute-value, step, and piecewise-defined functions.

Identify key graph features from a square-root, cube-root, absolute-value, step, or piecewise function rule

Problem

For \(y~=~\sqrt[3]{x~+~4}~-~2\), state the graph family, center, domain, and range.

Answer choices

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Preview only

Cube-root graph with center anchor (-4,2), domain all real numbers, and range all real numbers.

Square-root graph with endpoint (-4,-2) and domain x>=-4.

Cube-root graph with center anchor (4,-2), domain all real numbers, and range all real numbers.

Cube-root graph with center anchor (-4,-2), domain all real numbers, and range all real numbers.

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Curriculum context

Course: Math III
Standard: F-IF.7.b
Category: Functions
Domain: Interpreting Functions
Objective: Graph square-root, cube-root, absolute-value, step, and piecewise-defined functions.
Problem type: Identify key graph features from a square-root, cube-root, absolute-value, step, or piecewise function rule