Suppose the functions f and ĝ are defined by y = f(x) = 5*+1 –1 and y = g(x) = 5* - respectively. (2.1) Explain the steps of the transformation process that you would apply to the graph of g to obtain the graph of f. (2.2) Write down the sets that represent the domain and the range of the function f, and the equation of the asymptote of the graph of f.

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Q: 10. Graph the piecewise-defined function. f(x) = { 4 2x 3 if x 0 |

A: here i am taking f(x) = y (which is obvious) first drawing graph of  y= 2x-3

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A: Given that: The function f(x) = - (x - 5) 2 + 5 .

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A: Following is the graph plotted for individual functions.

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Q: 7) Sketch a graph for f(x) 3 + 2-x

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Q: 13. Use the idea of transfr-mation to sketch the function y = -2f(x+2) + 3 if the graph of y = f(x)…

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Q: 9. Sketch the graph and determine the domain and range -x', x 2

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Q: 7. A line x = 4 is a asymptote for the graph of a function f(x) , if

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Q: 7- -6 -5 -2 4 -5 -6 -7

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Q: х — 6 if x 1 | 7

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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.