Chapter D, Problem 1VWES

To determine

Whether all the listed ordered pairs will lie within a standard viewing rectangle.

Answer to Problem 1VWES

Solution:

The ordered pairs $\left(-9,0\right)$, $\left(5,8\right)$ and $\left(1,-8\right)$ will lie within a standard viewing rectangle.

Explanation of Solution

The given ordered pairs are $\left(-9,0\right)$, $\left(5,8\right)$ and $\left(1,-8\right)$.

For the standard viewed rectangle the minimum value of x is $-10$ and the maximum value of x is 10. For the standard viewed rectangle the minimum value of y is $-10$ and the maximum value of y is 10. The value of Xscl is 1 which represents the scale of x is 1 and the value of Yscl is 1 which represents the scale of y is 1.

Since the values of x in the given ordered pairs are $-9$, 5 and 1 and all of which lie between $-10$ and $10$, and the values of y in the given ordered pairs are 0, 8 and $-8$ all of which lie between $-10$ and $10$, therefore all the given ordered pairs will lie within a standard viewing rectangle.

Final statement:

Thus, the ordered pairs $\left(-9,0\right)$, $\left(5,8\right)$ and $\left(1,-8\right)$ will lie within a standard viewing rectangle.