Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

9. an exponential function is graphed on the grid. draw the asymptote a…

Question

  1. an exponential function is graphed on the grid. draw the asymptote and identify the key features listed. y - intercept asymptote growth or decay? growth decay (0,3) (0, -3) (3,0) (0,5) (0,0) (0,1) (0, -1) (0, -5) y = -5 y = 3 y = 0 y = -5 y = 1 y = -1

Explanation:

Step1: Identify y-intercept

The graph crosses the y-axis at $(0,1)$.

Step2: Identify horizontal asymptote

The graph approaches $y=0$ as $x\to\infty$.

Step3: Determine growth/decay

The graph decreases as $x$ increases, so it is decay.

Answer:

  • y-intercept: $(0,1)$
  • Asymptote: $y=0$
  • Growth or Decay? Decay