Question

Without graphing, determine whether the function represents exponential growth or exponential decay. Then find the y-intercept.

f(x) = 3(0.69)*

Answer 1

The function f(x) = 3(0.69)^x represents exponential decay and the y-intercept is 3.

Step-by-step explanation:

The function f(x) = 3(0.69)^x represents exponential decay because as x increases, the value of f(x) decreases. The value of the base, 0.69, is between 0 and 1, which indicates decay.

The y-intercept is the point where the graph of the function intersects the y-axis. In this case, when x = 0, f(x) = 3(0.69)^0 = 3(1) = 3. Therefore, the y-intercept is 3.