If f(x) is continuous on [1,4] and f(10)=3, f(4)=3 and k=15, then which statement(s) would be true regarding a c value in [1,4] where f(c)=15? will reward branliest!

The intermediate value theorem says that, for a function continuous on the closed interval , there is at least one on the open interval such that either or . Basically, if you know the values of the function at the endpoints of some interval, we can only guarantee the function takes on a value between the values at the endpoints.

In this case, we're told is continuous on [1, 4], and . By the IVT, we know there is some in (1, 4) such that . We don't know for sure that takes on a value of 15 in this interval. So the answer is A.

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