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5. In the equation for exponential functions, y = a.b*, how does the a term relate to a key feature of the graph?​

5. In the equation for exponential functions, y = a.b*, how does the a term relate-example-1
User Takecare
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1 Answer

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Explanation:

A shows the initial value or y intercept.

Why.

A exponential function is shown as


a(b {}^(x) )

If we are trying to find the y intercept, we first set this equal to y


a( {b}^(x) ) = y

Set x=0


a {b}^(0) = y

And solve for y.

Remeber that anything raised to the zero power is 1. So


b {}^(0) = 1

So we have


a(1) = y

Anything times 1 is itself so we have


a = y

This means that the y intercept of a exponential function is (0,a). A gives us the y intercept.

User Lenkovi
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