Identify the type of function represented by f(x) 4 2^x

f(x) = 4*2ˣ = 2ˣ⁺²

The answer is B because it is an exponential function since x is an exponent. Also, decay mean decreasing and growth means increasing. The function 2ˣ⁺² is "growing" as x gets bigger because the base is not a fraction.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.