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 $[0,6]$

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

Only (I) is true because continuity guarantees a function but horizontal lines may still intersect more than once; no inverse exists

None are true; the curve fails both line tests and cannot have an inverse

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