Below is the graph of f(x). For each of the given point determine the value of f(a) and lim f (x). If any of the quantities do not exist clearly explain why. (a) a = -2 (b) а 3D —1 (c) a = 2 (d) а %3D 3 4. 3 -1 1 3 -1 -2

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A: Solving the problem by finding the value at x tends to 2.

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A: derivative by limit is given as f'(x) = limh→0 f(x+h)-f(x)hat x = cf'(x) = limh→0 f(c+h)-f(c)h

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A: Solution: As we can see in the graph

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.