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Veseljchak [2.6K]
2 years ago
8

Write an equation for the graph​ below, which represents an exponential function f with base 2 or​ 3, translated​ and/or reflect

ed.

Mathematics
1 answer:
evablogger [386]2 years ago
6 0

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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