Which statements describe the graph of y is equal to cube root of x minus 1 plus 2 ? Choose three correct answers.

For y = ∛(x − 1) + 2, the cube root is defined for every real x, so the domain is all real numbers (C). A cube-root function can also produce every real y-value, so the range is not limited to y ≥ 1. At x = 0, y = ∛(−1) + 2 = 1, giving the y-intercept (0, 1) (D). Setting y = 0 gives ∛(x − 1) = −2, so x − 1 = −8 and x = −7; the x-intercept is (−7, 0) (E).

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