Science:Math Exam Resources/Courses/MATH110/December 2015/Question 03 (b)
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Question 03 (b) 

Consider the following function,
where and are constants. (b) With the values of and found in part (a), sketch the graph of the corresponding function . Make sure you evaluate and mark on your graph the − and −intercepts, if they exist. (If you didn’t answer part (a), pick values of a and b of your choice and sketch the graph of the corresponding function for partial marks.) 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Sketch the graph of each piece separately, i.e. an exponential function, a line and a parabola. For each graph keep the piece that satisfies the given interval. 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. We'd like to graph the function: The graph is shown in the figure below. The red part is the function for , The Green part is the linear function for , and the orange part is the parabola where . As shown in the graph, the intercept is , and intercept is . 