Test 8 Section 4 #30

First, don’t be intimidated by all the visuals here. This one is not nearly as bad as it looks.

Start by identifying the maximum of the graph of f. Hopefully you agree with me that the greatest y-value the graph reaches is 3, which it reaches when x = 4. So we know that the maximum value of f is 3. Therefore, k = 3.

From there, all you need to do is read the table and find g(3). What does the table say in the g(x) column when it has a 3 in the x column? That’s right, g(3) = 6, so the answer is 6.