Question

Write an exponential equation for the following graph. Will give brainiest if you answer

Answer 1

Answer:

f(x) = $2(\frac{1}{2})^x$

Step-by-step explanation:

Let the exponential function is,

f(x) = a(b)ˣ

Since, the given graph passes through two points (0, 2) and (1, 1)

For point (0, 2),

2 = a(b)⁰

2 = a

For point (1, 1),

1 = a(b)¹

ab = 1

2(b) = 1

b = $\frac{1}{2}$

Therefore, equation of the exponential function will be,

f(x) = $2(\frac{1}{2})^x$