Choose the correct set of points that prepares the graph of the equation $y = 10 ^ { x }$ for nonnegative values of x.
A) $( 0,1 ) , ( 1,1 ) , ( 2,4 ) , ( 3,9 )$
B) $( 0,0 ) , ( 1,10 ) , ( 2,100 ) , ( 3,1000 )$
C) $( 0,1 ) , ( 1,20 ) , ( 2,40 ) , ( 3,30 )$
D) $( 0,1 ) , ( 1,10 ) , ( 2,100 ) , ( 3,1000 )$
E) $( 0,0 ) , ( 1,10 ) , ( 2,40 ) , ( 3,90 )$

Question

Quizplus · Accepted Answer

The equation $y = 10^{x}$ represents exponential growth, where the base 10 is being raised to a power that increases as $x$ increases. As such, we should choose points that reflect this growth. Choice D gives us points that demonstrate exponential growth for nonnegative values of $x$, starting at $(0, 1)$ and increasing rapidly as $x$ increases. Choice B also shows exponential growth, but it includes the point $(0, 0)$ which is not part of the domain of the function $(10^{0} = 1 
eq 0)$.

Choose the Correct Set of Points That Prepares the Graph y=10xy = 10 ^ { x }y=10x

Choose the Correct Set of Points That Prepares the Graph $y = 10 ^ { x }$