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liq
20 days ago
11

Which is the graph of the cube root function f(x) = RootIndex 3 StartRoot x EndRoot?

Mathematics
2 answers:
babunello [8.4K]20 days ago
7 0

Answer:

A graph representing a cube root function passes through the points (-8, -2), has an inflection point at (0, 0), and also includes the point (8, 2).

Step-by-step explanation:

f(x)=\sqrt[3]{x}\\\\f(-8)=\sqrt[3]{-8}=-2\to(-8,\ -2)\\\\f(0)=\sqrt[3]{0}=0\to(0,\ 0)\\\\f(8)=\sqrt[3]{8}=2\to(8,\ 2)\\\\\\\sqrt[3]{a}=b\iff b^3=a\\\\\text{Therefore:}\\\\\sqrt[3]{-8}=-2\ \text{because}\ (-2)^3=-8\\\sqrt[3]0=0\ \text{because}\ 0^3=0\\\sqrt[3]{8}=2\ \text{because}\ 2^3=8

PIT_PIT [9.1K]20 days ago
3 0

Answer:

The selection is c.

Step-by-step explanation:

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