The function f has a domain of (0, 4] and a range of (0, 3]. Start by sketching a potential graph of f. a. Suppose the function g is defined as g(z) = f(z) + 5. Determine the domain and range of g. %3D i. Domain: (-00,00) Preview ii. Range: (0,5) Preview b. Suppose the function h is defined as h(a) = 3f(2). Determine the domain and range of h. !! i. Domain: Preview ii. Range: Preview c. Suppose the function j is defined as j(z) = - f(z). Determine the domain and range of j. iNDomain: Preview ii. Range: Preview d. Suppose the function k is defined as k(z) = f(z - 2). Determine the domain and range of k. %3D i. Domain: Preview ii. Range: Preview

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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.