Example Functions and Graphs

On this page you will find examples of interesting functions, along with their graphs created with the plotter tools on mathonthecloud.com!

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Explicit function examples
Parametric function examples
Polar function examples
Implicit function examples

Displaying 4 examples of the type: explicit

Multiple Function Types: A Bicycle Wheel

An offroad bike wheel represented with 3 functions! In the multi-type plotter, four types of functions are graphed simultaneously! This is useful when you want to visualize relationships and interactions between different types of equations.
Go to the plotter page for this graph.⧉

tags: explicit implicit polar parametric

Multiple Explicit Functions: $y = a \cdot sin (b \cdot x + c) + d$

The different properties of the sine wave! ∿∿∿ In

y = a \cdot sin (b \cdot x + c) + d

, each of the variables change a property of the graph. a: amplitude, b: frequency, c: x-axis displacement. d: y-axis displacement.
Go to the plotter page for this graph.⧉

tags: explicit

Explicit Function Family: $y = \frac{a \cdot x}{a^{2} + x^{2}}, a = {- 5 ... 5}$

This is the equation

y = \frac{a \cdot x}{a^{2} + x^{2}}, a = {- 5 ... 5}

. Depending on the function, changes in the value of 'a' can alter the resulting graph dramatically!
Go to the plotter page for this graph.⧉

tags: explicit

Explicit Function Family: $y = a \cdot sin (x) \cdot x, a = {- 2 ... 10}$

An explicit equation is quite simple. In y=f(x), y's value is dependent on x, the independent variable.

y = a \cdot sin (x) \cdot x

is shown here, where 'a' is a set of integers.
Go to the plotter page for this graph.⧉

tags: explicit

Example Functions and Graphs

Multiple Function Types: A Bicycle Wheel

Multiple Explicit Functions: y=a⋅sin(b⋅x+c)+d

Explicit Function Family: y=a⋅xa2+x2,a={-5...5}

Explicit Function Family: y=a⋅sin(x)⋅x,a={-2...10}

Multiple Explicit Functions: $y = a \cdot sin (b \cdot x + c) + d$

Explicit Function Family: $y = \frac{a \cdot x}{a^{2} + x^{2}}, a = {- 5 ... 5}$

Explicit Function Family: $y = a \cdot sin (x) \cdot x, a = {- 2 ... 10}$