Question

PLEASE HELP ME WITH THESE 3 QUESTIONS YOU GUYS! YOU WILL EARN ALOT OF POINT I PROMISE! 15+ PTS

Answer 1

1) not sure of an example but it will be something with exponential growth.

2)  Constant rate of change means the slope is the same between every point (always represented by a straight line).  Average rate of change is the slope between the first and last point (not usually represented by a straight line).

3) g(x) = 3(2ˣ) - 6

g(0) = 3(2°) - 6   = 3(1) - 6   = 3 - 6   = -3      ⇒ coordinate (0, -3)

g(3) = 3(2³) - 6   = 3(8) - 6  = 24 - 6  = 18     ⇒ coordinate (3, 18)

average rate of change (slope) from x = 0 to x = 3: $\frac{y2 - y1}{x2 - x1}$

  $\frac{18 - (-3)}{3 - 0}$

= $\frac{21}{3}$

= 7