Graphing a function on a given interval ?

In summary, a function is a mathematical relationship between two quantities where for every input value there is a corresponding output value. Graphing a function involves plotting input and output values on a coordinate plane to create a visual representation of the relationship. An interval is a range of values on a number line, and in graphing a function, it refers to the specific range of input values used to plot the function. It is important to graph a function on a given interval to understand its behavior and overall shape. Labeling the axes on a graph helps provide context and understanding of the quantities being represented, with the horizontal axis representing input values and the vertical axis representing output values.
  • #1
alliecr
11
0
Graphing a function on a given interval...??

My problem is: Use a graphing calculator to graph the function...?
...over the given interval f(x)= -x^4+3x^3-4x+3 (-2,3).

How do you graph something on a specific interval?

P.S. I have the Casio fx-9750G PLUS graphing calculator.
 
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  • #2
Have you read the manual for your calculator? All you need to do is make the x-axis in the graph go from -2 to 3, a VERY standard thing to be able to do on a graphing calculator...
 
  • #3


To graph a function on a given interval, follow these steps:

1. Turn on your graphing calculator and enter the function into the calculator. For this example, enter f(x)= -x^4+3x^3-4x+3.

2. Press the "Graph" button on your calculator to see the graph of the function.

3. To specify the interval, press the "Window" button on your calculator. This will bring up the window settings for your graph.

4. Use the arrow keys on your calculator to navigate to the "Xmin" and "Xmax" values. These values represent the minimum and maximum x-values for your graph.

5. Enter the values for your given interval. In this case, the interval is (-2,3), so you would enter -2 for "Xmin" and 3 for "Xmax".

6. Press the "Graph" button again to see the graph of the function on the given interval.

Your calculator should now display the graph of the function over the given interval. You can use the zoom and trace functions on your calculator to further explore the graph and see specific points on the graph.
 

FAQ: Graphing a function on a given interval ?

What is a function?

A function is a mathematical relationship between two quantities, where for every input value (independent variable) there is a corresponding output value (dependent variable).

What is graphing a function?

Graphing a function involves plotting its input and output values on a coordinate plane and connecting the points to create a visual representation of the relationship between the two quantities.

What is an interval?

An interval is a range of values on a number line. In graphing a function, an interval refers to the specific range of input values that will be used to plot the function.

Why is it important to graph a function on a given interval?

Graphing a function on a given interval allows us to see the behavior and patterns of the function within that specific range of input values. It also helps in understanding the overall shape and characteristics of the function.

What is the purpose of labeling the axes when graphing a function on a given interval?

Labeling the axes on a graph helps to provide context and understanding of the quantities being represented. The horizontal axis is usually labeled with the input values, while the vertical axis is labeled with the corresponding output values. This allows for easier interpretation of the function and its behavior within the given interval.

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