Question

Select the correct answer from each drop-down menu.

The graph of an exponential function of the form y = f(x) = ax passes through the points __ and __.

A) (0, 1), (1, a)
B) (1, a), (0, 1)
C) (0, a), (1, 1)
D) (1, 1), (0, a)

Answer 1

The correct answer is A) (0, 1), (1, a), as an exponential function y = f(x) = ax passes through (0, 1), and the point (1, a) due to the properties of exponents.

Step-by-step explanation:

The correct answer to the student's question is A) (0, 1), (1, a). An exponential function of the form y = f(x) = ax will always pass through the point (0, 1) because any number (including a) raised to the power of 0 is 1. Additionally, when x is 1, the function will give the value of a, which means the function also passes through the point (1, a). Therefore, the graph of an exponential function of this form must pass through these two specific points.