Math Problem Statement
Persamaan grafik sesuai dengan gambar di bawah adalah...
Solution
The problem asks for the equation that matches the graph shown in the image.
Analysis of the Graph:
The graph appears to be a reflection and vertical shift of a basic exponential function. The curve has the following features:
- It is decreasing, suggesting that the base of the exponent is between 0 and 1.
- The curve approaches the horizontal axis (x-axis) asymptotically from above.
- It intersects the y-axis at a point below the origin.
Step-by-Step Approach:
Given that the graph is decreasing, we're looking for an equation that has a form similar to , where and and adjust the shape and position.
Let's now check the equations provided in the options:
-
Option A:
This is a linear equation, not exponential. The graph will be a straight line, which does not match. -
**Option B: (
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Math Problem Analysis
Mathematical Concepts
Exponential Functions
Graph Analysis
Reflections and Transformations
Formulas
Exponential function formula y = a * b^x + c
Theorems
Properties of Exponential Functions
Suitable Grade Level
Grades 10-12