Question

Given the equation y=a(b)^x+c explain what a, b, and c represent. how are they used when graphing the function

Answer 1

Answer:

• a: initial value above c
• b: growth/decay factor
• c: horizontal asymptote

Step-by-step explanation:

The value c represents the horizontal asymptote.

The value "a" is the amount above the horizontal asymptote at x=0.

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The value b is the growth factor, the amount that the difference from c is multiplied by when x increases by 1.

If b > 1, the function is a growth function and will increase in magnitude to the right.

If b < 1, the function is a decay function and will approach the horizontal asymptote to the right.