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8.F.b.3 Do we assume “initial value” means the y-intercept or does “initial value” vary with context as would “initial conditions?”
F.IF.c.3 since the domain for a function is a a subset of the set of integers, can we assume “initial value” for a sequence function would depend on context or the specified domain?Thinking you mean 8.F.B.4 for the first question, the initial value of a function is its output when the input is 0 so yes, that is usually going to be the y-intercept.
And, thinking you mean F.IF.A.3 for the second question, I think the initial value is still going to be f(0) if f is defined at 0, but notice the term “initial value” is not used in this standard, and the domain might not contain zero. For example, you could have a sequence a_1, a_2, . . . whose domain is the set {1, 2, 3, . . . }. I think in this case you would call a_1 the initial term of the sequence to avoid confusion.
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