16
QuizMultiple Choice

Exponential and Logarithmic Functions — Test

Question 16 • Algebra 2 with Probability

Which properties are present in a table that represents an exponential function in the form y is equal to b to the x th power when b is greater than 1 ? I. As the x -values increase, the y -values increase. II. The point open paren 1 comma 0 close paren 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.

Answer
A
II and III
B
I and IV
C
III only
D
I and II

Explanation

For y = b^x with b > 1, increasing x makes y increase, so statement I is true. When x decreases, the positive values of b^x decrease toward 0, so statement IV is true. Statement II is false because when x = 1, y = b, not 0; the point (1, 0) is not on the graph. Therefore, the correct choice is I and IV.

AI-written and checked against the verified answer.

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