Question

What is the equation of the exponential graph shown?

Answer 1

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