Problem 49 Set the viewing window of your c... [FREE SOLUTION]

Chapter 1: Problem 49

Set the viewing window of your calculator to the given specifications. Make a sketch of your window. $$\begin{aligned} &[-5,10] \text { by }[-5,10]\\\ &\mathrm{Xscl}=3 \quad \mathrm{Yscl}=3 \end{aligned}$$

Short Answer

Expert verified

Set the window to x: -5 to 10, y: -5 to 10, with x and y scales at 3 units.

Step by step solution

Understand the Viewing Window x-range

The x-range of your calculator should be set from -5 to 10. This means your graph will display horizontally starting at -5 on the left and ending at 10 on the right.

Understand the Viewing Window y-range

The y-range of your calculator should also be set from -5 to 10, which means your graph will span vertically from -5 at the bottom to 10 at the top.

Set the Xscl (X-axis scale)

Set the x-axis scale (Xscl) to 3. This means that each tick mark on the x-axis represents an increment of 3 units. Therefore, tick marks will appear at -5, -2, 1, 4, 7, and 10 along the x-axis.

Set the Yscl (Y-axis scale)

Set the y-axis scale (Yscl) to 3. This implies that each tick mark on the y-axis represents an increment of 3 units. Tick marks will be visible at -5, -2, 1, 4, 7, and 10 along the y-axis.

Sketch the Graphing Window

Using the specifications above, draw a rectangular region on graph paper or digitally, labeling the x and y axes with their respective ranges. Mark the increments on both axes at intervals of 3 units, reflecting the scale you set in Steps 3 and 4.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

x-range

The x-range on a graphing calculator sets the horizontal boundary for viewing a graph. In our exercise, the x-range is specified as $[-5, 10]$. This means that when viewing a graph, you'll see the part of the graph that includes x-values starting from -5 (on the left) up to 10 (on the right).

The x-range is quite literally the range of x-values you want to explore or display on your graph. To set this accurately on your graphing calculator:

Access the window settings on your calculator.
Input -5 for the x-minimum.
Input 10 for the x-maximum.

Understanding the x-range helps you to focus on the part of a function that is most relevant for your calculations, analyses, or visualizations.

y-range

Similar to the x-range, the y-range specifies the vertical limits on your graph. In this task, the y-range is $[-5, 10]$. This means your graph will show y-values from -5, located at the bottom of your calculator screen, to 10 at the top.

Setting the correct y-range is important to ensure that all relevant parts of the graph are visible. Here's how to set your y-range properly:

Navigate to the window settings.
Input -5 for the y-minimum.
Input 10 for the y-maximum.

By setting both the x-range and y-range as demonstrated, you define a viewing window that makes sure you're not missing any crucial details of the graph.

axis scale

The axis scale settings, often denoted as Xscl and Yscl, determine the spacing of the tick marks on the axes. In our problem, both the x and y scales are set to 3. This means every tick mark along both axes will represent a 3-unit increment.

So, if you start at -5, you'll find tick marks at -5, -2, 1, 4, 7, and 10. This consistent spacing aids in easily reading graphs by providing clear reference points.

Here's how to ensure your scales are set correctly:

Locate the axis scale settings in your calculator window.
Set both scales (Xscl and Yscl) to 3.

An evenly spaced axis is helpful for interpreting graphs because it keeps the visual information consistent and organized.

graphing window

The graphing window combines all previous elements into a single adjustable display area on your calculator. It integrates the x-range, y-range, and scales to define exactly what part of your graph you want to view.

To sketch the graphing window:

Start by drawing the axes.
Label the x-axis from -5 to 10 and the y-axis from -5 to 10.
Mark tick marks on both axes at every 3-unit interval.

The graphing window allows you to tailor-fit the view depending on the specific function you are analyzing. For best results, adjust your graphing window to include the regions of the graph that showcase important features, such as intercepts or peaks, effectively. Being comfortable with altering these settings empowers you to analyze a variety of functions with greater accuracy and efficiency.

91影视

Set the viewing window of your calculator to the given specifications. Make a sketch of your window. $$\begin{aligned} &[-5,10] \text { by }[-5,10]\\\ &\mathrm{Xscl}=3 \quad \mathrm{Yscl}=3 \end{aligned}$$

Short Answer

Step by step solution

Understand the Viewing Window x-range

Understand the Viewing Window y-range

Set the Xscl (X-axis scale)

Set the Yscl (Y-axis scale)

Sketch the Graphing Window

Key Concepts

x-range

y-range

axis scale

graphing window

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