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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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