Answer :
Answer:
D) f(x) = 5(4)ˣ
Explanation:
(x, y) = (2, 80)
Check by inserting x = 2
A) y = 4(x)⁵ = 4(2)⁵ = 128
B) y = 5(x)⁴ = 5(2)⁴ = 80 - passes
C) y = 4(5)ˣ = 4(5)² = 100
D) y = 5(4)ˣ = 5(4)² = 80 - passes
An exponential equation is in a(b)ˣ format, so only f(x) = 5(4)ˣ is an exponential equation which passes the point (2, 80)
The equation that represents an exponential function that passes through the point (2, 80) is f(x) = 5(4)^x
Exponential function
Exponential functions are inverse of logarithmic function and expressed as y = ab^x
where
a is the base
x is the exponent
For us to determine which function passes through the point, such function must product an output value of 80 for an input value of 2.
For the function f(x) = 5(4)^x
f(2) = 5(4)^2
f(2) = 5 * 16
f(2) = 80
This shows that the equation that represents an exponential function that passes through the point (2, 80) is f(x) = 5(4)^x
Learn more one exponential function here: https://brainly.com/question/2456547
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