Question

Write an equation for the exponential function represented in the graph below.

Answer 1

Answer:

$y=4(2^x)$

Step-by-step explanation:

we know that  

The exponential function is of the form

$y=a(b^x)$

where

a is the initial value or y-intercept

b is the base or factor growth

r is the rate of change

In this problem we have

looking at the graph

Is a exponential growth function (as the value of x increases the value of y increases)

so

$b > 1$

The y-intercept is the point (0,4)

so

$a=4$

substitute

$y=4(b^x)$

From the graph take the point (1,8)

substitute in the exponential function and solve for b

$8=4(b^1)\\b=8/4\\b=2$

therefore

The exponential function is equal to

$y=4(2^x)$

Answer 2

Answer: y=4(2)ˣ  or  y=4 · 2ˣ  or  f(x)=4(2)ˣ  or  f(x)=4 · 2ˣ

Step-by-step explanation:

Saw this on Algebra Nation, got it correct.