4. Sketch a function that satisfies the following criteria: • Domain of (-o, 4] • Range of (0, 7) • y-intercept shown with a star on the graph Is increasing on some intervals and decreasing on some intervals Based on your sketch, answer the following questions. Tip: If you're having a hard time drawing the picture requested above, you can draw a picture of any function and still answer the questions below to get partial credit.: • Does your graph have an x-intercept? If so, what are its coordinates? If not, explain why not briefly. • What are the intervals of x-values on which your graph is increas- ing? Write these in interval notation, please. • Does your graph have a local minimum? If so state the coordinates. If not, explain why briefly. • How can someone use a graph of a function to illustrate the average rate of change? No need to compute any average rates of change, here, just looking for a general explanation.
4. Sketch a function that satisfies the following criteria: • Domain of (-o, 4] • Range of (0, 7) • y-intercept shown with a star on the graph Is increasing on some intervals and decreasing on some intervals Based on your sketch, answer the following questions. Tip: If you're having a hard time drawing the picture requested above, you can draw a picture of any function and still answer the questions below to get partial credit.: • Does your graph have an x-intercept? If so, what are its coordinates? If not, explain why not briefly. • What are the intervals of x-values on which your graph is increas- ing? Write these in interval notation, please. • Does your graph have a local minimum? If so state the coordinates. If not, explain why briefly. • How can someone use a graph of a function to illustrate the average rate of change? No need to compute any average rates of change, here, just looking for a general explanation.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![4. Sketch a function that satisfies the following criteria:
• Domain of (-oo, 4]
• Range of (0, 7)
• y-intercept shown with a star on the graph
• Is increasing on some intervals and decreasing on some intervals
Based on your sketch, answer the following questions. Tip: If you're
having a hard time drawing the picture requested above, you can draw a
picture of any function and still answer the questions below to get partial
credit.:
• Does your graph have an x-intercept? If so, what are its coordinates?
If not, explain why not briefly.
• What are the intervals of x-values on which your graph is increas-
ing? Write these in interval notation, please.
• Does your graph have a local minimum? If so state the coordinates.
If not, explain why briefly.
• How can someone use a graph of a function to illustrate the average
rate of change? No need to compute any average rates of change,
here, just looking for a general explanation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd174cc6-1396-44dd-9f89-49a42e1a7c80%2F6f1474dd-ff15-4c6b-96af-9a1a1ac20019%2Fp1bfdsu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Sketch a function that satisfies the following criteria:
• Domain of (-oo, 4]
• Range of (0, 7)
• y-intercept shown with a star on the graph
• Is increasing on some intervals and decreasing on some intervals
Based on your sketch, answer the following questions. Tip: If you're
having a hard time drawing the picture requested above, you can draw a
picture of any function and still answer the questions below to get partial
credit.:
• Does your graph have an x-intercept? If so, what are its coordinates?
If not, explain why not briefly.
• What are the intervals of x-values on which your graph is increas-
ing? Write these in interval notation, please.
• Does your graph have a local minimum? If so state the coordinates.
If not, explain why briefly.
• How can someone use a graph of a function to illustrate the average
rate of change? No need to compute any average rates of change,
here, just looking for a general explanation.
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