The average rate of change will be negative 7 / 3.
How to find the average rate of change of something?
Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:
Average rate = (y₂ - y₁) / (x₂ - x₁)
The exponential function is given below.
f(x) = (0.5)ˣ - 6
Then the average rate of change will be
Average rate = [f(0) - f(-3)] / [0 - (-3)]
Average rate = [(0.5⁰ - 6) - (0.5⁻³ - 6)] / 3
Average rate = [1 - 6 - 8 + 6] / 3
Average rate = - 7 / 3
More about the average rate of change link is given below.
https://brainly.com/question/23715190
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