Consider the absolute value equation f(x) = |ax + b[ +c, where a, b, and c are fixed non-zero real numbers. i) Find a formula for the c-intercept(s) of the graph of y = f(x) (if they exist). ii) Find a condition on c such that f has two r-intercepts. iii) Suppose that g(x) = k|az + b[+c. Find an expression for the c-intercepts of the graph y = g(x) if they exist and hence find conditions that guarantee that g has no z-intercepts.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.