The Official SAT Question of the Day™

Read the following SAT test question, then click on a button to select your answer.




The function ƒ is graphed in the xy-plane above. If the function g is defined by g(x) = ƒ(x) + 4, for how many values of x between –5 and 15 does g(x) equal 0?

A. None
B. One
C. Two
D. Three
E. More than three

Answer is C

Here's Why:

The graph of the function g is the same as the graph of the function ƒ translated up 4 units. The function ƒ intersects the x-axis three times, but if the graph is shifted up 4 units, then the graph will intersect the
x-axis only twice. Therefore, g(x) is equal to 0 for exactly two values of x between –5 and 15.


Difficulty: Hard
Question Type: Standard Multiple Choice

(Mathematics)