Graph Studio

  • Some of the most commonly used mathematical functions and their graphs.

Basics

  • There are certain descriptions which are often used when we talk about graphs.
Graph description Meaning
The graph is positive The y-values of the graph are positive.
The graph is negative The y-values of the graph are negative.
The graph is increasing As we move from left to right, the y-values on the graph climb.
The graph is decreasing As we move from left to right, the y-values on the graph drop.

Common Plots

Linear Function

−4−2024−4−2024
Linear plot: y = mx + b, where m = 1 and b = 2-4-3-2-101234-4-3-2-11234y intercept, b = 2

Square Function

−4−2024−4−2024
Square plot: y = x**2-4-3-2-101234-4-3-2-11234

Cube Function

−4−2024−4−2024
Cube plot: y = x**3-4-3-2-101234-4-3-2-11234

Square Root Function

−4−2024−4−2024
Square root plot: y = sqrt(x)-4-3-2-101234-4-3-2-11234

Absolute Value/Modulus Function

−4−2024−4−2024
Modulus plot: y = |x|-4-3-2-101234-4-3-2-11234

Reciprocal Function

−4−2024−4−2024
Reciprocal plot: y = 1./x-4-3-2-101234-4-3-2-11234

Logarithmic Function

−4−2024−4−2024
Log plot: y = ln(x)-4-3-5-101234-4-3-5-11234

Exponential Function

−4−2024−40−2002040
Exponential plot: y = exp(x)-4-3-2-101234-40-30-20-10102030e = 2.72

Negative Exponential Function

−4−2024−40−2002040
Negative Exponential plot: y = exp(-x)-4-3-2-101234-40-30-20-10102030e = 0.46

Sine Function

sin(x)-11

Cosine Function

cos(x)-11

Tangent Function

tan(x)

Dance Moves

  • You can remember these plots with some cool dancing moves!

References