Question

Which function is represented by the graph below?

Answer 1

Answer:

$f(x)=2^x$

Step-by-step explanation:

Exponential function:

$f(x)=a(b^x)+c$

Step 1. Find a, y-intercept

Step 2. Find b, slope

Step 3. Find c, horizontal asymptote

a = 1

m = (y₂ - y₁)/(x₂ - x₁)

m = (3 - 1)/(1 - 0) = 2/1

b = 2

c = 0

$f(x)=1(2^x)+0\\f(x)=2^x$