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

On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2).
On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
On a coordinate plane, a cube root function goes through (negative 4, negative 2), has an inflection point at (0, 0), and goes thorugh (4, 2).
On a coordinate plane, a cube root function goes through (negative 4, 2), has an inflection point at (0, 0), and goes through (4, negative 2).

[tex]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[/tex]

MORSACE MORSACE · Answer 2 · 2022-06-24T02:22:08+02:00

MORSACE MORSACE

24-06-2022

Answer:

graph c

Step-by-step explanation:

i got it right

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