Explanation for Question 18 From the Math (No Calc) Section on the Official Sat Practice Test 9
Question 18. It gives us this graph and it reads the figure above shows 2 the complete graph of the function F in the X, 3 Y plane. The function G not shown is defined by G of X 4 equals F of X plus six. What is the maximum value of the function? 5 G okay. So let's think about what does it mean when it says maximum 6 value? That just means the greatest Y value that this 7 function reaches. And we know that G of X is equal to F of 8 X plus six. So it's the exact same graph. 9 It's got the same shape, but it shifted up six units in the Y 10 direction. We see that our graph F of X has 11 a maximum value of F of X is equal to one. 12 And that's the max value, knowing that the function G is shifted 13 up six, we know that the max of G is going to be equal 14 to the max of F plus six. 15 So we got that. The max of G is equal to one plus six, 16 so seven, the maximum value of the function G is going to be equal 17 to seven.