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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 Ab How Does The A Term Relate To A Key Feature Of The Graph class=

Sagot :

Step-by-step explanation:

A shows the initial value or y intercept.

Why.

A exponential function is shown as

[tex]a(b {}^{x} )[/tex]

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

[tex]a( {b}^{x} ) = y[/tex]

Set x=0

[tex]a {b}^{0} = y[/tex]

And solve for y.

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

[tex]b {}^{0} = 1[/tex]

So we have

[tex]a(1) = y[/tex]

Anything times 1 is itself so we have

[tex]a = y[/tex]

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

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