考试类型: Mathematics > Standard Multiple Choice

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

The function f is graphed in the xy-plane above. If the function g is defined by g(x)=f(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

正确答案:C

解析:

The graph of the function g is the same as the graph of the function f translated up 4 units. The function f 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.