75. f(0) = 0, f(1) = 2, f(-1) = -2, lim f(x) = -1, and lim f(x) = 1 76. f(0) = 0, lim f(x) = 0, lim f(x) = 2, and lim f(x) = -2 I-too 77. f(0) = 0, lim f(x) = 0, lim f(x) = _ lim f(r) = 00, I--1+ lim f(x) = -oo, and lim f(x) = -00 78. f(2) = 1, f(-1) = 0, lim f(x) = 0, lim f(r) = o, I-0* lim f(x) -00, and lim f(x) = 1
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.
Inventing Graphs and Functions
In Exercises 75–78, sketch the graph of a function y = ƒ(x) that satisfies the given conditions. No formulas are required—just label the coordinate axes and sketch an appropriate graph. (The answers are not unique, so your graphs may not be exactly like those in the answer section.)
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