### Home > GC > Chapter 1 > Lesson 1.1.1 > Problem1-5

1-5.

Match each table of data on the left with its equation on the right and briefly explain why it matches the data. Homework Help ✎

$x$

$1$

$0$

$-4$

$2$

$-2$

$-1$

 (1)  $y=x$ (2) $y=3x−1$ (3) $y=x+3$ (4) $y=x^2$ (5) $y=−x^2$ (6) $y=x^2+3$

$y$

$4$

$3$

$-1$

$5$

$1$

$2$

Notice what the difference is between each of the $x$- and $y$-values.

$y=x+3$

$x$

$-1$

$3$

$1$

$0$

$-2$

$2$

$y$

$-1$

$-9$

$-1$

$0$

$-4$

$-4$

Notice all $y$-values (besides zero) are negative.

$x$

$2$

$-2$

$1$

$0$

$2$

$-3$

$y$

$12$

$7$

$4$

$3$

$7$

$12$

Notice that $y$ does not increase in constant increments. Also notice $3$ and $−3$ give the same $y$-value.

$x$

$-3$

$4$

$2$

$-2$

$0$

$-10$

$y$

$-10$

$11$

$5$

$-7$

$-1$

$-31$

$y=3x−1$