What is the equation of the exponential graph shown?

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

7 0

Answer:

f(x) = 100*(1/2)ˣ

Step-by-step explanation:

Exponential function is:

f(x) = a*bˣ

Use two points on the graph to determine the value of a and b:

(0, 100), (1, 50)

Find the values of a and b:

f(0) = a*b⁰ = a = 100
f(1) = a*b¹ = ab = 100b = 50 ⇒ b = 50/100 = 1/2

The function is:

f(x) = 100*(1/2)ˣ

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