Question

Which answer represents the range of the logarithmic function given below?

F(x) = log0.3 x
A. y 0
B. y < 0
C. y > 0
D. All real numbers

Answer 1

Can a log be negative?

Answer 2

Yeah

Answer 3

Can you have log (0)?

Answer 4

no

Answer 5

Can a log be positive?

Answer 6

yes

Answer 7

So if it cannot be negative or 0 but can be positive...which answer would reflect that?

Answer 8

A log can be negative. You just cannot take the log of a negative #.

Answer 9

You are correct wrong verbiage on my part

Answer 10

What is Your answer A say? Y is related to 0 how? You have A. y 0

Answer 11

I'm guessing it is y = 0?

Answer 12

Y is all real numbers though. This is called the range. It approaches infinity going up, albeit very very slowly, and infinity at the bottom, very quickly.

Answer 13

@Cosmichaotic

Answer 14

As mentioned above, the range of a logarithmic function is ALL real numbers. The y value goes from -infinity to +infinity.

Answer 15

Thanks everyone!

Answer 16

yw.