Up Your Score SAT, 2018-2019 Edition The Underground Guide to Outsmarting The Test

—Samantha

For these   problems,   we  need    to  replace the “f  (x)”    symbol  with    its equation.   It

should now read .

Sorry!  We  forgot  one last    type    of  function    question.

Example 2:  The function    f,  where   f   (x) =   (1  +   x)^2 ,  is  defined for –2  ≤   x   ≤

2. What is the range of f?
   A) 0 ≤ f (x) ≤ 4
   B) 0 ≤ f (x) ≤ 9
   C) 1 ≤ f (x) ≤ 4
   D) 1 ≤ f (x) ≤ 9

Since f is defined only for –2 ≤ x ≤ 2, that is the domain of the function. To
get the range, the best bet is to plug in all the integers between –2 and 2. You
won’t always have to plug in all the numbers, but if it’s a small set (and it
probably will be) it will be worth your time. No matter what the size of the set,
it’s usually a good idea to check the end points and the values of x that yield a
zero.

x f(x)

–   2       1

– 1 0

0 1

1 4

2 9