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Hint

+A line representing a function slanting upwards to the right is increasing, since as you increase +the inputs, the outputs increase as well. +

+ If the line is horizontal then the outputs don't change +so the function is constant. +

+When you zoom in on most functions they look like straight lines. (The functions for which +this works are called differentiable functions --- there ARE functions which are not differentiable, +but we'll get to those later.) In any case you can tell whether a function is increasing or +decreasing by zooming in and determining whether the straight line is increasing or decreasing. +

+This means that the study of (differentiable) functions is largely a matter of understanding what +happens with straight line (or linear) functions. +

+

Remark on hints

+WeBWorK hints may or may not be helpful. + +Remember that WeBWorK's primary mission is to tell you whether your answer is correct. Programming +a computer to do this is hard enough, programming a computer to accurately understand why you +getting the wrong answer and to offer effective help is much harder. +

+ +If you are having trouble with a problem +it is good to seek help from a human!
+This could be a fellow student, the TA or the professor. It is also helpful to look +at the relevant chapter of the textbook. You can use the index to look up key words +if you're not sure where to look. +

Don't +waste too much time guessing at answers! +

+Read the book, your notes. Talk to someone! Print out a hard copy of the problem set +and take it down to the Pit to work on! + +

+You can use the Feedback button +at the bottom of each problem page to send e-mail to the TA and to the professor. + + +