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Math Exercises: Analysis of Functions, Properties of Functions

 

 

 

 

1. Analyse the function, draw the graph of a function and determine the properties of a function :
(domain of a function, range of a function, function is/is not one-to-one function, continuous/discontinuous function, even/odd function, is/is not periodic function, unbounded/bounded below/above function, coordinates of intersections with the x-axis and with the y-axis, horizontal/vertical/slant asymptote of a function, local extrema of a function - local minimum and local maximum, intervals of monotonicity - increasing/decreasing function, stationary points, intervals of convexity and concavity - convex/concave function, inflection points)

 

Analysis of functions, Properties of functions - Exercise 1

 

 

 

 

 

 

You might be also interested in:

- Domain of a Function

- Evenness and Oddness of a Function

- Continuity of a Function

- Local Extrema of a Function

- Monotonicity of a Function

- Convexity and Concavity of a Function

- Graph of a Function

- Intersections of Graph with Axes

- Asymptotes of a Function

- Tangent Line to the Graph of a Function

- Inverse Function

- Linear Function

- Linear Fractional Function

- Quadratic Function

- Power and Root Function

- Exponential Function

- Logarithmic Function

- Trigonometric Functions

- Limit of a Function

- Derivative of a Function

- Indefinite Integral of a Function

- Definite Integral of a Function

 

 
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