3 years ago

Which table represents y as a function of x?

Mathematics

1 answer:

alexira [117]3 years ago

8 0

Answer:

The first one

Step-by-step explanation:

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Answer:

$f(x) = 2*2^x + 3$

Step-by-step explanation:

The model for an exponencial function is:

$f(x) = a*b^x + c$

'c' is the value of the asymptote, so we have c = 3.

To find the value of 'a', let's use the point (0,5):

$5 = a*b^0 + 3$

$5 = a*1 + 3$

$a = 2$

Now, to find the value of 'b', let's use the point (1, 7):

$7 = 2 * b^1 + 3$

$7 = 2b + 3$

$2b = 4$

$b = 2$

So our function is:

$f(x) = 2*2^x + 3$

Let's check if the point (-1, 4) is inside our function:

$4 = 2 * 2^{-1} + 3$

$4 = 1 + 3$

$4 = 4\ (correct)$

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3 years ago

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Domain = All Real Numbers

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