Question

Which of the following exponential functions goes through the points (1, 12) and (236)

Answer 1

Answer:237 . 12

Step-by-step explanation:

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Answer 2

Answer:

y = 4$(3)^{x}$

Step-by-step explanation:

For an exponential function in the form

y = a $b^{x}$

Use the given points to find the values of a and b

Using (1, 12), then

12 = ab → (1)

Using (2, 36), then

36 = ab² → (2)

Divide (2) by (1)

$\frac{36}{12}$ = $\frac{ab^2}{ab}$ , then

3 = b

Substitute b = 3 into (1) for value of a

12 = 3a ( divide both sides by 3 )

4 = a

Thus

y = 4$(3)^{x}$ ← is the exponential function