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Graphing techniques

Check the graph and its symmetries · Diagrams

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Basic curves: exponential and logarithm

y = eˣ

Y₁ = e^(X)

Y= → 2nd → LN → X,T,θ,n → GRAPH

Explore an inputx = 0
y = 1

Domain: All real inputs.

Increasing; y-intercept 1 and left-end asymptote y = 0.

y = e⁻ˣ

Y₁ = e^(−X)

Y= → 2nd → LN → (−) → X,T,θ,n → GRAPH

Explore an inputx = 0
y = 1

Domain: All real inputs.

Use the negation key (−); decreasing, with y-intercept 1.

y = ln x

Y₁ = ln(X)

Y= → LN → X,T,θ,n → GRAPH

Explore an inputx = 1
y = 0

Domain: x > 0.

Real inputs x > 0; x-intercept 1; vertical asymptote x = 0.

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

Calculator entries for increasing e to x, decreasing e to negative x, and logarithm with positive domain and vertical asymptote x=0.
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