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Function and their graph step by step solution| SK mathematics

functions and graphs

sketching functions step by step

domain and range

function transformations

function continuity

graphing polynomials

graphing rational functions

asymptotes and end behavior

calculus graphing techniques

step by step math solutions

calculus for engineers

analytic geometry tutorial

critical points and concavity

Автор: SK Mathematics

Загружено: 2025-10-27

Просмотров: 20

Описание: Welcome to SK Mathematics!
In this video we present Functions and Their Graphs — Step-by-Step Solutions.
We solve multiple example problems to help you understand how to:

Identify types of functions (polynomial, rational, exponential, logarithmic, piecewise)

Find domain and range

Determine intercepts and symmetry (even/odd)

Compute and interpret limits and continuity (where relevant)

Find increasing/decreasing intervals and local extrema using derivatives

Analyze end behavior and asymptotes

Sketch accurate graphs step-by-step (critical points, concavity, inflection points)

Work examples of transformations: shifts, stretches, reflections, and composites


Perfect for B.Sc., BS, A-level, and Engineering students — anyone who wants clear, exam-oriented graphing techniques and full solutions.

📚 Topic: Functions & Their Graphs — Step-by-Step Solutions
📺 Channel: SK Mathematics
🔔 Subscribe for full solutions of calculus, analytic geometry, differential equations, and more!



🔑 Description Keywords (SEO Key):
functions and graphs, sketching functions step by step, domain and range, function transformations, function continuity, graphing polynomials, graphing rational functions, asymptotes and end behavior, calculus graphing techniques, SK Mathematics, Thomas calculus examples, critical points and concavity, step by step math solutions, calculus for engineers, analytic geometry tutorial.

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Function and their graph step by step solution| SK mathematics

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