(-1,1.25) and (3,0.032)
y = a(b)x
Since (-1, 1.25) is on the graph, 1.25 = a(b)-1
Since (3, 0.032) is on the graph, 0.032 = a(b)3
From the first equation, a = 1.25b
Substitute into the second equation to get 0.032 = 1.25b4
b4 = 0.0256
b = (0.0256)1/4
= 0.4
So, a = 1.25b = 1.25(0.4) = 0.5
Therefore, y = 0.5(0.4)x
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What would the exponential equation be?
(-1,1.25) and (3,0.032)
What are Exponential Equations? An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
Exponential Functions
An exponential function is a function with the general form y = abx, a ≠ 0, b is a positive real number, and b ≠ 1. In an exponential function, the base b is a constant.
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