Question

Which properties are present in a table that represents an exponential function in the form mc029-1.jpg when mc029-2.jpg?
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 an exponential function with base > 1 (e.g. y = 2^x) y increases as x increases (I is true). As x decreases toward −∞, y decreases toward the horizontal asymptote y = 0 (IV is true). (1,0) is impossible for a nontrivial exponential (it never equals 0), and III contradicts I.