sat suite question viewer
Advanced Math
/ Nonlinear functions
Difficulty: Medium
Which of the following is the graph in the xy-plane of the given equation?
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Explanation
Choice D is correct. The y-intercept of the graph of an equation is the point 
, where b is the value of y when 
. For the given equation, 
when . It follows that the y-intercept of the graph of the given equation is 
. Additionally, for the given equation, the value of y doubles for each increase of 1 in the value of x. Therefore, the graph contains the points 
, 
, 
, and 
. Only the graph shown in choice D passes through these points.
Choices A and B are incorrect because these are graphs of decreasing, not increasing, exponential functions. Choice C is incorrect because the value of y increases by a growth factor greater than 2 for each increase of 1 in the value of x.