Functions and Inverse Functions
★Exhibit Content: Interactive experience for popular science of elementary functions and inverse functions image symmetry relationship, mapping logic mathematics ★Interaction: Manual flip board flipping observation interaction ★Operation: Grip the device handle and flip the transparent glass board, observe the position changes of the function (y=3x-2) and its inverse function (y=(x+2)/3) marked on the board, and intuitively view the symmetry characteristics after flipping. ★Exhibit Description: "Function and Inverse Function" is a desktop interactive exhibit for popular science of function knowledge for middle and high school students, belonging to the algebraic function mathematics exhibition area, and is a recommended exhibit of PopsciCat Exhibit Store. The exhibit adopts a standard rectangular operation console in white and blue color scheme, with a transparent acrylic drawing board with a flip axis standing on the tabletop. The drawing board is pre-set with a plane rectangular coordinate system and two sets of half-function images; it is equipped with a metal flip handle structure and an acrylic instruction sign printed with detailed explanation content. By flipping the drawing board, visitors can intuitively see the geometric characteristics of the original function and inverse function being symmetric along the line (y=x), transforming the abstract inverse mapping relationship into visualized image changes, reducing the difficulty of understanding function knowledge points. ★Scientific Principle: A function is a correspondence that maps input x to output y. The inverse function reverses the input-output logic of the original function: the original function (y=f(x)) has input x and output y, and its inverse function (g(y)=x) satisfies (g(f(x))=x) and (f(g(y))=y). Their graphs are symmetric about the line (y=x). Taking (y=3x-2) in the exhibit as an example, solving for the inverse function gives \(y=frac{x+2}{3}). After flipping the drawing board along (y=x), the two sets of images can completely coincide, intuitively verifying the symmetry property of the original function and inverse function, and concretely presenting their inverse mapping rule.
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- 0.9×0.7×1.4m 0.9×0.7×1.4mDimensions (L×W×H): 0.9×0.7×1.4m Brand: PopsciCat Model: PopsciCat-math-120 1. Materials ① Base: frame 2mm cold-rolled steel plate, enclosure 2.0mm cold-rolled steel plate, surface with white and blue two-tone baked paint, edges and corners rounded for protection ② Tabletop: Kelesi artificial stone, thickness ≥12mm, with flame-retardant and moisture-proof bottom plate underneath ③ Instruction sign: acrylic UV high-definition inkjet printing, printed with operation method, function and inverse function principle and example derivation content ④ Maintenance door: 2.0mm cold-rolled steel plate with lock and baked paint access door, convenient for maintenance of flip axis and drawing board structure ⑤ Drawing board frame: aluminum alloy matte outer frame, firmly fixing high-transparency acrylic panel ⑥ Flip mechanism: stainless steel damping hinge + anti-slip handle, smooth flipping and can stay in position, not easy to shake ⑦ Panel content: wear-resistant UV printed coordinate system and function images, not easy to wear and fade after long-term use 2. Main Configuration ① Rectangular load-bearing operation console main body ② Wuhan Jiajian Chengchu customized flip acrylic drawing board assembly with damping hinge ③ Plane rectangular coordinate system and function image markings ④ Algebraic function knowledge popular science graphic and text board 3. Exhibition Requirements ① Energy demand: no external power supply required, pure manual mechanical flip interaction, no electrical energy consumption ② Installation foundation: operation console placed directly on the floor, with anti-slip and shock-absorbing foot pads at the bottom to ensure horizontal and stable placement ③ Entry passage: door frame size (W×H) ≥1.4m×1.7m, continuous turning interval in passage ≥1.8m ④ Maintenance passage: not required
★Exhibit Content: Interactive experience for popular science of elementary functions and inverse functions image symmetry relationship, mapping logic mathematics ★Interaction: Manual flip board flipping observation interaction ★Operation: Grip the device handle and flip the transparent glass board, observe the position changes of the function (y=3x-2) and its inverse function (y=(x+2)/3) marked on the board, and intuitively view the symmetry characteristics after flipping. ★Exhibit Description: "Function and Inverse Function" is a desktop interactive exhibit for popular science of function knowledge for middle and high school students, belonging to the algebraic function mathematics exhibition area, and is a recommended exhibit of PopsciCat Exhibit Store. The exhibit adopts a standard rectangular operation console in white and blue color scheme, with a transparent acrylic drawing board with a flip axis standing on the tabletop. The drawing board is pre-set with a plane rectangular coordinate system and two sets of half-function images; it is equipped with a metal flip handle structure and an acrylic instruction sign printed with detailed explanation content. By flipping the drawing board, visitors can intuitively see the geometric characteristics of the original function and inverse function being symmetric along the line (y=x), transforming the abstract inverse mapping relationship into visualized image changes, reducing the difficulty of understanding function knowledge points. ★Scientific Principle: A function is a correspondence that maps input x to output y. The inverse function reverses the input-output logic of the original function: the original function (y=f(x)) has input x and output y, and its inverse function (g(y)=x) satisfies (g(f(x))=x) and (f(g(y))=y). Their graphs are symmetric about the line (y=x). Taking (y=3x-2) in the exhibit as an example, solving for the inverse function gives \(y=frac{x+2}{3}). After flipping the drawing board along (y=x), the two sets of images can completely coincide, intuitively verifying the symmetry property of the original function and inverse function, and concretely presenting their inverse mapping rule.
Review
Principle Display: ★★★ Interaction Effect: ★★★★ Ease of Installation: ★★★★★ Durability: ★★★★ Overall Rating: ★★★