- #1
angela107
- 35
- 2
- Homework Statement
- I found the image of the following function (a graph). The question also asks me to explain my answer briefly. I'm not sure how to go about to answering.
- Relevant Equations
- n/a
So just start talking about how the equation produces the graph. What is the value of the function with x=0? Why is that the maximum that the function can produce? Why is the graph symmetric about the x=0 axis? With an x in the denominator, why is the function not equal to infinity somewhere?angela107 said:Homework Statement:: I found the image of the following function (a graph). The question also asks me to explain my answer briefly. I'm not sure how to go about to answering.
Relevant Equations:: n/a
View attachment 270198
View attachment 270199
Thank you!berkeman said:So just start talking about how the equation produces the graph. What is the value of the function with x=0? Why is that the maximum that the function can produce? Why is the graph symmetric about the x=0 axis? With an x in the denominator, why is the function not equal to infinity somewhere?
You're welcome. And your thoughts are...angela107 said:Thank you!
Finding the images of a function can help us understand the behavior and characteristics of the function. It allows us to see the output values for different input values and can help us identify patterns or relationships within the function.
To find the images of a function, you can plug in different input values into the function and calculate the corresponding output values. This can be done manually or by using a graphing calculator or computer software.
The domain of a function refers to the set of all possible input values, while the range refers to the set of all possible output values. In other words, the domain is the set of x-values and the range is the set of y-values.
Yes, a function can have multiple images for a single input value. This is known as a one-to-many relationship, where one input value corresponds to multiple output values.
Finding the images of a function can be useful in various fields, such as engineering, economics, and physics. It can help us make predictions and solve real-world problems by understanding the relationship between different variables.