Question of the Day

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10/3 , 11/7

Sep
1
2015
23,443 responses
Question of the Day Statistics
Number Answered
Correct 10,885
Incorrect 12,558
46% correct

Mathematics > Standard Multiple Choice

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

9-1-2013-MRO_TR_11.png

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

Answer Choices

Hint

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

Question of the Day

Can you answer today's question?

Register Next Tests:
10/3 , 11/7

Sep
1
2015
23,443 responses
Question of the Day Statistics
Number Answered
Correct 10,885
Incorrect 12,558
46% correct

Mathematics > Standard Multiple Choice

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

9-1-2013-MRO_TR_11.png

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

Answer Choices

Answer

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, function g of x is equal to 0 for exactly two values of x between negative 5 and 15.