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What is the equation of the exponential graph shown?

What Is The Equation Of The Exponential Graph Shown class=

Sagot :

Mhanifaidn

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

General equation

  • y=ab^x

Nos

Plot (0,100)

  • 100=ab⁰
  • a=100

Again put (1,50)

  • 50=ab¹
  • 50=100b
  • b=0.5

so

final equation

  • y=100(0.5)^x
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