Question
Compare the two functions. (4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Which function has the larger y-intercept? Response area Which function has a constant rate of change? Response area Which function has the greater rate of change in the interval [0,2]? Response area Which function has the greater rate of change in the interval [2,4]? Response area
Answers
Answered by
GPT-4o mini
To compare two functions effectively, we need to know their equations or graphs. However, since you have not provided specific functions, I will guide you on how to analyze them based on general characteristics.
1. **Which function has the larger y-intercept?**
- To determine the y-intercept of a function, look for the value of the function when \(x = 0\). Whichever function yields a higher value at this point has the larger y-intercept.
2. **Which function has a constant rate of change?**
- A function has a constant rate of change if it is linear (i.e., can be expressed in the form \(y = mx + b\) where \(m\) is the slope). To check for linearity, see if the graph is a straight line.
3. **Which function has the greater rate of change in the interval [0,2]?**
- To find the rate of change within a given interval, compute the difference in \(y\)-values divided by the difference in \(x\)-values for both functions over that interval. The function with the higher result has the greater rate of change.
4. **Which function has the greater rate of change in the interval [2,4]?**
- Similarly, calculate the rate of change for both functions over this interval by taking the difference in \(y\)-values divided by the difference in \(x\)-values from \(x = 2\) to \(x = 4\).
If you can provide the specific functions or additional context, I can assist you further in answering these queries more accurately!
1. **Which function has the larger y-intercept?**
- To determine the y-intercept of a function, look for the value of the function when \(x = 0\). Whichever function yields a higher value at this point has the larger y-intercept.
2. **Which function has a constant rate of change?**
- A function has a constant rate of change if it is linear (i.e., can be expressed in the form \(y = mx + b\) where \(m\) is the slope). To check for linearity, see if the graph is a straight line.
3. **Which function has the greater rate of change in the interval [0,2]?**
- To find the rate of change within a given interval, compute the difference in \(y\)-values divided by the difference in \(x\)-values for both functions over that interval. The function with the higher result has the greater rate of change.
4. **Which function has the greater rate of change in the interval [2,4]?**
- Similarly, calculate the rate of change for both functions over this interval by taking the difference in \(y\)-values divided by the difference in \(x\)-values from \(x = 2\) to \(x = 4\).
If you can provide the specific functions or additional context, I can assist you further in answering these queries more accurately!
There are no human answers yet. A form for humans to post answers is coming very soon!