Problem 65 - College Algebra Essentials

Question

What does a \([-20,2,1]\) by \([-4,5,0.5]\) viewing rectangle mean?

Step-by-Step Solution

Answer

A \([-20,2,1]\) by \([-4,5,0.5]\) viewing rectangle means the x values (horizontal) range from -20 to 2 with a scale factor of 1, and the y values (vertical) range from -4 to 5 with a scale factor of 0.5.

Step 1: Analyze the Horizontal (X) Values

First, look at the first sequence \([-20,2,1]\). This means, horizontally the x values go from \(-20\) (left border) to \(2\) (right border) with a scale factor of \(1\). The scale factor here represents the step size or increment along the x-axis.

Step 2: Analyze the Vertical (Y) Values

Next, analyze the second sequence \([-4,5,0.5]\). Vertically, this means that the screen or graph stretches from \(-4\) (bottom border) to \(5\) (top border) with a scale factor of \(0.5\). This indicates the step size on the y-axis.

Step 3: Visualize the Rectangle

Lastly, visualize this as a rectangle on a graph, where the x values range from -20 to 2, and the y values range from -4 to 5. Within these ranges consider the specified scale factors, which are the increments along each axis.