Graphing Functions | Superprof

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Chapters

1. Domain of the function.
2.Intersections with the x-axis and y-axis.
3. Asymptotes.
4.Increases and decreases.
5. Maxima and minima.
6.Concavity and convexity.
7. Inflection points.
Domain
x-intercepts
y-intercept
Asymptotes
Increases and Decreases
Minimum
Maximum
Concavity and Convexity
Inflection Points
Graph the Function

To represent a function graphically, calculate the points or intervals in the function where it changes its behavior. To do so, find the following mathematical characteristics:

1. Domain of the function.

2.Intersections with the x-axis and y-axis.

3. Asymptotes.

4.Increases and decreases.

5. Maxima and minima.

6.Concavity and convexity.

7. Inflection points.

Representation of a Function Example

Domain

x-intercepts

y-intercept

Asymptotes

Horizontal asymptote

There are no vertical or oblique asymptotes.

Increases and Decreases

Minimum

Maximum

Concavity and Convexity

Inflection Points

Graph the Function

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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Theory

Exponent Rules

Absolute Value Function

Arithmetic Sequence Problems

Arithmetic Sequence

Asymptotes

Bounded Functions

Bounded Sequence

Composition of Functions

Concave and Convex Functions

Constant Functions

Convergent and Divergent Sequences

Coordinates in the Plane

Domain of a Function

Even and Odd Functions

Exponential Function

Function

Graphing polynomial function I

Graphing exponential function II

Graphing logarithmic function

Graphing polynomial function II

Graphing rational function I

Graphing rational function II

Graphing rational function III

Graphing rational function IV

Graphing rational function V

Graphing rational function 8

Graphing exponential function I

Geometric Sequence Problems

Geometric Sequence

Graphing Parabolas

Intervals of Increase and Decrease

Increasing and Decreasing Functions

Maxima, Minima and Inflection Points

Inflection Points

x- and y-Intercepts

Inverse Function

L’Hôpital’s Rule

Limit of a Sequence

Linear Function

Linear Functions Worksheet

Logarithmic Functions

Absolute and Relative Maxima and Minima

Maxima and Minima

Mean Value Theorem

Monotone Sequence

nth Term

Optimization

Periodic Functions

Piecewise Functions

Properties of Limits

Quadratic Function

Radical Functions

Rational Functions

Rolle’s Theorem

Sequences

Trigonometric Functions

Types of Functions

Formulas

Sequence Formulas

Exercises