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.
Use the vertical line test to identify graphs in which y is a function of x ?
a).
Now let us draw a vertical line on the given curve, we get
Clearly the vertical line passes through two points on the given curve.
Hence y is not a function of x.
b.
Now let us draw a vertical line on the given curve, we get
Clearly the vertical line passes through only one point on the given curve.
Therefore y is a function of x.
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