Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y = 4 - 3x - x intercept (x, y) = ) (smaller x-value) (x, y) = (larger x-value) relative minimum (x, y) = relative maximum (x, r) = point of inflection (x, y) = Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) Use a graphing utility to verify your results. y 10 8 6 4 2 2 -3 2 -1 1 2 3 -3 -2 -1 3 y 10 10 8 8 6 6. 2 -3 -2 -1 3 -3 -2 1 3 2. 2.

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Q: Q3: Find equations of all lines having slope (-1) that are tangent to the curve y = 1/(1-x)

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Q: 4.

A: The slope of the line passing through the points x1,y1, x2,y2 is m=y2-y1x2-x1

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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.