Question

identify key features from a graph:

1. an exponential function is graphed on the grid. draw the asymptote and identify the key features listed.

Explanation:

Step1: Find y-intercept

The y-intercept is where $x=0$. From the graph, the curve crosses the y-axis at $(0, -2)$.

Step2: Identify asymptote

The graph approaches a horizontal line $y=-3$ but never touches it.

Step3: Determine growth/decay

As $x$ increases, $y$ approaches the asymptote (does not increase), so it is decay.

Answer:

• y-intercept: $(0, -2)$
• Asymptote: $y=-3$
• Growth or Decay?: Decay