Which properties are present in a table that represents a logarithmic function in the form y=logbx when b>1?
I. The y-values are always increasing or always decreasing.
II. The point (0, 1) exists in the table.
III. The y-values will decrease rapidly as the x-values approach zero.
IV. There will only be one x-value in the table with a y-value of zero.
I only
I and II only
I, III, and IV
II and III only

Which properties are present in a table that represents a logarithmic function in the form ylogbx when bgt1 I The yvalues are always increasing or always decrea class=

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Answer:

The answer is C: I, III, and IV

Step-by-step explanation:

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The properties which are present in a table representing the logarithmic function as described is; Choice C: I, II and III.

Logarithmic functions

The logarithmic function described in the task has a positive base number.

The properties of the logarithmic function therefore includes;

  • The y-values are always increasing or always decreasing.

  • The y-values will decrease rapidly as the x-values approach zero. This is because variables x and y are directly proportional to each other.

  • There will only be one x-value in the table with a y-value of zero. This is by virtue of the characteristics of a function.

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