Question

1. what is true about all three curves on the graph below? options: ( b > 1 ), ( -1 < b < 1 ), ( b < 1 ), ( 0 < b < 1 )

Explanation:

Step1: Analyze the behavior of exponential functions

For an exponential function \(y = a\cdot b^{x}\) (\(a>0\)), when \(b > 1\), the function is increasing. When \(0 < b<1\), the function is decreasing. When \(b = 1\), \(y=a\) (a constant function). Looking at the graph, as \(x\) increases, the \(y -\) values of all three curves are increasing.

Answer:

\(b>1\)