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

Step-by-step explanation:

we know that  

The exponential function is of the form

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

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

so

substitute

From the graph take the point (1,8)

substitute in the exponential function and solve for b

therefore

The exponential function is equal to

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

step-by-step explanation:

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