Help with functions possible values?
- 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.