G05 · Cartesian Plane & FunctionsSTUDIO
y = 2ˣ · (a = 2, q = 0)SVG · PPTX · 1:1
G05 // Cartesian Plane & Functions
Exponential Growth & Decay Function Graph (y = k·aˣ + q)
Analytical vector curves for exponential growth (a > 1, natural base e) and decay (0 < a < 1) with vertical shift q and dashed horizontal asymptote.
Key formulas & geometric relations
y = k · aˣ + q · a > 1 (crescente) · 0 < a < 1 (decrescente)
Pre-configured models ready to open or download (18)
Catalog →- Increasing Exponential Function (y = 2ˣ)y = 2ˣ · (a = 2, q = 0)
- Exponential Decay Function y = (0.5)ˣy = (1/2)ˣ · (a = 0.5)
- Natural Exponential Function (y = eˣ)y = eˣ · (e ≈ 2.72)
- Shifted Exponential with Asymptote y = −3 (y = 2ˣ − 3)y = 2ˣ − 3 · asintoto y = −3
- Unlabeled High-School Graph: Curva Esponenziale Crescente y = 2ˣ (y = 2ˣ · grafico muto)y = 2ˣ · grafico muto
- Unlabeled High-School Graph: Curva di Decadimento Esponenziale (1/2)ˣ (y = (1/2)ˣ · grafico muto)y = (1/2)ˣ · grafico muto
- Unlabeled High-School Graph: Esponenziale Naturale y = eˣ (y = eˣ · grafico muto)y = eˣ · grafico muto
- Unlabeled High-School Graph: Esponenziale Traslata con Asintoto y = -3 (y = 2ˣ - 3 · asintoto y = -3)y = 2ˣ - 3 · asintoto y = -3
- Unlabeled High-School Graph: Esponenziale Traslata (2ˣ - 3) Senza Asintoto Tracciato (y = 2ˣ - 3 · senza asintoto)y = 2ˣ - 3 · senza asintoto
- Base-3 Exponential Function y = 3ˣy = 3ˣ · crescita rapida
- Unlabeled Exam Graph of Base-3 Exponential Function y = 3ˣy = 3ˣ · crescita rapida · verifica muta
- Decreasing Exponential Function y = (1/3)ˣy = (1/3)ˣ · decadimento rapido
- Unlabeled Exam Graph of Decreasing Exponential Function y = (1/3)ˣy = (1/3)ˣ · decadimento rapido · verifica muta
- Upward-Shifted Exponential y = 2ˣ + 1 (Asymptote y = 1)y = 2ˣ + 1 · asintoto y = 1
- Unlabeled Exam Graph of Upward-Shifted Exponential y = 2ˣ + 1 (Asymptote y = 1)y = 2ˣ + 1 · asintoto y = 1 · verifica muta
- Reflected Exponential y = -2ˣ + 4 (Root x = 2, Asymptote y = 4)y = -2ˣ + 4 · zero in x = 2
- Unlabeled Exam Graph of Reflected Exponential y = -2ˣ + 4 (Root x = 2, Asymptote y = 4)y = -2ˣ + 4 · zero in x = 2 · verifica muta
- Half-Life Decay Curve y = 2·(1/2)ˣ on Millimeter Papery = 2 · (1/2)ˣ · curva di dimezzamento