Question

what is the initial value of the exponential function shown on the graph? 4 1 2 0

Explanation:

Step1: Recall initial value definition

The initial value of an exponential function \( y = ab^x \) is the value when \( x = 0 \), i.e., \( y = a \) (since \( b^0 = 1 \)).

Step2: Find \( x = 0 \) on graph

Look at the graph: when \( x = 0 \) (the y - axis), the graph intersects the y - axis at \( (0, 2) \). So the initial value (when \( x = 0 \)) is 2.

Answer:

2