Question

Which properties are present in a table that represents an exponential function in the form y=b^x when b greater than 1?
I. As the x-values increase, the y-values increase.
II. The point (1, 0) exists in the table.
III. As the x-values increase, the y-values decrease.
IV. As the x-values decrease, the y-values decrease, approaching a singular value.
I and IV
I and II
II and III
III only

Answer 1

I and IV

Reason: For b > 1, y = b^x is increasing (so I true, III false). It does not pass through (1,0) because y(1) = b ≠ 0 (II false). As x decreases toward −∞, y = b^x decreases toward 0, an asymptote (IV true).