The range is all real numbers, The domain is x>0, The x- intercept is (1,0) and it is decreasing are correct options.
What is a logarithm?
It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
We have a function:
[tex]\rm F(x) = log_{0.125} x[/tex]
From the graph, we can say the x-intercept will be (1, 0).
Domain will be x > 0
Range will be all real numbers
And it is decreasing function.
Thus, the range is all real numbers, The domain is x>0, The x- intercept is (1,0) and it is decreasing are correct options.
Learn more about the Logarithm here:
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