Explanation for Question 12 From the Math (No Calc) Section on the 2019 May Sat
Question 12 says the function G is defined by the equation above which 2 of the following points in the X, Y plane is an X intercept of 3 the graph of the equation. Y is equal to G of X. 4 Now X intercepts occur when, 5 uh, Y equals zero. 6 So when Y equals zero, 7 so we need to figure out what value of X could we plug in 8 to make Y from zero, since the equation is two X minus two, 9 we need to essentially set two of X equal to two, 10 the C when would this equation become two minus two, 11 which is zero. And that happens when X is equal to 12 one. And we know that because that's the only power, 13 the power of one where a number just equals itself. 14 So any number to the powerful one just equals its original value. 15 So when X is equal to one, this equation becomes two to the power 16 of one, which is just two minus two is equal to zero. 17 Therefore an X value of one creates a Y value of zero, 18 which means that's the Y intercept. Therefore, 19 the answer here is C where X is equal to one and 20 Y is equal to zero.