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.
(a) What are the domain and range of f ?
(b) What is the -intercept of the graph of f?
(c) Sketch the graph of f .
f (x) = ln x+2
Given function is:
f(x) = ln x + 2
Since f(x) is defined for all x > 0, the domain (D) of f(x) is:
D = {x: x is real and x > 0}
In interval notation:
D = (0, +infinity)
The range of f(x) is = R (set of all reals)
The graph of f(x) = ln x + 2 is as follows:
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