Answer:
382.5 Inches
Step-by-step explanation:
Hope this helped
The expression y = 4.998 ·
is the exponential function that passes through the points (- 1, 5 / 3) and (3, 135).
<h3>How to derive an exponential function that passes through two given points</h3>
Herein we find the location of two points set on Cartesian plane that belongs to an exponential function of the form:
![y = A \cdot e^{B \cdot x}](https://tex.z-dn.net/?f=y%20%3D%20A%20%5Ccdot%20e%5E%7BB%20%5Ccdot%20x%7D)
Where:
- A - y-Intercept of the exponential function.
- B - Growth factor
- x - Independent variable.
- y - Dependent variable.
Which is equivalent to the following logarithmic expression:
㏑ y = ㏑ A + B · x
If we know that (x₁, y₁) = (- 1, 5 / 3) and (x₂, y₂) = (3, 135), then the following system of equations is generated:
㏑ (5 / 3) = ㏑ A - B
㏑ 135 = ln A + 3 · B
Then, we solve the system by numerical methods:
㏑ A = 1.609 (A = 4.998), B = 1.098
And the exponential function is equal to y = 4.998 ·
.
To learn more on exponential functions: brainly.com/question/11487261
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The domain of a graph is all of the x-values of the graph. Since the graph looks like it continues and never ends, every single x value is included in the domain, thereby making all reals the correct answer