A graph displays a continuous increasing curve that starts at $(-3,0)$ and rises strictly monotonically to $(3,6)$. Which statements are true? Explain.
(I) Passes vertical line test
(II) Passes horizontal line test
(III) Has an inverse that is a function on the interval $[0,6]$

• A. Only (I) and (III) are true, but (II) is false because a horizontal line could intersect the curve at two points due to its starting and ending points
• B. Only (I) is true because continuity guarantees a function but horizontal lines may still intersect more than once; no inverse exists
• C. None are true; the curve fails both line tests and cannot have an inverse
• D. All three statements (I), (II), and (III) are true because strict monotonic increase implies both vertical and horizontal line tests pass and the inverse exists as a function

Answer: (D)