SAT question b39d74a0 (Nonlinear Functions)

Question

The table shown includes some values of x and their corresponding values of y . Which of the following graphs in the xy -plane could represent the relationship between x and y ?

College Board · Accepted Answer

The correct answer is B. Choice B is correct. Each pair of values shown in the table gives the ordered pair of coordinates for a point that lies on the graph that represents the relationship between x and y in the xy -plane: (0, 0) , (1, 1) , (2, 8) , and (3, 27) . Only the graph in choice B passes through the points listed in the table that are visible in the given choices.

CookSAT · Answer

Note: The table and listed inputs show g(x)=x^3, so choose the graph through (-1,-1), (0,0), and (1,1).

$x$	$y$
$0$	$0$
$1$	$1$
$2$	$8$
$3$	$27$

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question b39d74a0: Nonlinear Functions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong