Determine the function which corresponds to the given graph. a natural logarithmic function crossing the y axis at zero and going through the point 5, -1. the asymptote is x = -1

Step-by-step explanation:

We need to find the function using given condition.

Parent function of log is log x

A natural logarithmic function crossing the y axis at zero and going through the point 5, -1. The asymptote is x = -1

Asymptote is x=-1

So, graph will shift 1 unit right.

Passing point: (0,0) and (5,-1)

Using these two point we will get a and b

For point (5,-1)

Log to exponent change property

We will rearrange the expression

Now we compare both side to get a and b

So, a=-1 and b=6

Final function we get

Thus, Required function is

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~