Graphing techniques

Check the graph and its symmetries · Diagrams

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Basic curves: square, cube and square root

y = x²

Y₁ = X²

Y= → X,T,θ,n → x² → GRAPH

Explore an inputx = 1

y = 1

Domain: All real inputs.

Parabola; vertex (0, 0).

y = x³

Y₁ = X^3

Y= → X,T,θ,n → ^ → 3 → GRAPH

Explore an inputx = 1

y = 1

Domain: All real inputs.

Near (0,0): ZOOM → 2 → ENTER (Zoom In).

y = √x

Y₁ = √(X)

Y= → 2nd → x² → X,T,θ,n → GRAPH

Explore an inputx = 1

y = 1

Domain: x ≥ 0.

Real inputs x ≥ 0; the curve begins at the origin.

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

Calculator entry sequences and reconstructed x squared, x cubed and square-root curves. Cubic zoom at the origin; square root has domain x nonnegative.

Open original diagram

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