# Help with functions possible values?

### 1 Answer

Relevance

- anonymousLv 71 month ago
The graph of g(x) = k where k is an integer is a horizontal line through (0, k) .

g(x) always equals k, so g(a) = k, and

f(a) = g(a) implies that f(a) = k .

Given that f(a) = g(a) = k has three different solutions, this means that the horizontal line g(x) = k intersects the given graph of f(x) at three different points. The integer values of k where this happens are k = -3, -2, -1, 0, 1, 2.

There are six possible integer values of k that satisfy the criteria.

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As to the answer saying there are seven integers that satisfy the criteria, I'm not seeing how that is the case.