SAT Question of the Day Explained – March 5, 2014 – Math

Today’s SAT question of the day is about this graph:

13-MEM_QG_7_1.png

We need to know how many times this function (only defined between x = -1.5 and x = 1.5) = 0.2.

As it’s stated in the problem, we are looking for how many times f(x) = 0.2.  f(x) means “the function of x”, so we need to see how many times this function of x = 0.2.  This will be the number of points when y = 0.2 on the graph; we are looking for the output (y) of the function, not the input (x) of the function.

Y = 0.2 4 times: twice in the small positive hump on the left, and twice in the large positive hump on the right. I approximated y = 0.2 below:

march5

Don’t get tricked into looking for x instead of y! Always consider the inputs and outputs when working with functions.