ericaewing714
ericaewing714 ericaewing714
  • 18-03-2020
  • Mathematics
contestada

-2 -1 0 1 2 fx 1/8 1/4 1/2 1 2 what is the initial value of the exponential function represented by the table

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Luv2Teach
Luv2Teach Luv2Teach
  • 27-03-2020

Answer:

Step-by-step explanation:

The standard form of an exponential function is

[tex]y=a(b)^x[/tex] , where a is the initial value and b is the growth factor.

You will always find your initial value at the y value where x = 0.  From your table where x = 0 and y = 1/2:

[tex]\frac{1}{2}=a(b)^0[/tex]

Any number or variable raised to the power of 0 = 1, therefore

[tex]\frac{1}{2}=a(1)[/tex] which gives us an initial value, a, of 1/2.

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