Porisma
Back to reading

Graphing techniques

Check the graph and its symmetries · Diagrams

Choose another diagram

Basic curves: reciprocals and cube root

y = 1/x

Y₁ = 1/X

Y= → 1 → ÷ → X,T,θ,n → GRAPH

Explore an inputx = 1
y = 1

Domain: x ≠ 0.

Two branches. Alternative entry: ALPHA → Y= (fraction template).

y = 1/x²

Y₁ = 1/X²

Y= → 1 → ÷ → X,T,θ,n → x² → GRAPH

Explore an inputx = 1
y = 1

Domain: x ≠ 0.

Both branches positive; the input 0 is excluded.

y = ∛x

Y₁ = ∛(X)

Y= → MATH → 4 → X,T,θ,n → GRAPH

Explore an inputx = 1
y = 1

Domain: All real inputs.

Real cube root: negative inputs give negative outputs.

Input/result reconstructions; viewing windows chosen for clear mathematical shape.

Calculator entry sequences for 1/x, 1/x squared and real cube root. Reciprocal branches split at zero; cube root includes negative inputs.
Open original diagram (new tab)
Back to reading