[Video] Q30: The complete graph of the function f and a table of values for the function g are shown above. the maximum value of f is k. what is the value of g k ( ) ?

Explanation for Question 30 From the Math (Calc) Section on the Official Sat Practice Test 8

So question number 30 tells us that we're looking for GFK. 2 And so our question is what is K because once I know, 3 okay, I can go into my table for G of X and find out 4 what GFK is. Now. If we look at our question, 5 we see that it tells us that K is the maximum value of F. 6 So we need to find the highest point on F and that is right 7 here. Right? And so we see that that is at four comma 8 three. And so our question is, 9 do we use the four or do we use the three? 10 And when we see that, it says the maximum value of F that 11 tells us that we're looking at the Y value, 12 right? Because F of X is giving off Y values. 13 That's the output. So we're going to want to use the three here rather 14 than the four. If we look at G or if we pretend that K 15 is equal to three, right? Because our maximum value is three. 16 Then that means that we're going to want to look where X is equal 17 to three here, and X is equal. 18 One X is equal to three or G of X is six. 19 So that's like saying G of three is equal to three, 20 which is also equal to GFK. 21 So our correct answer is going to be B. 22 Okay.