Question

What is the equation of the exponential graph shown?

Answer 1

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

Answer 2

• f(x) = 100*(1/2)ˣ

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