Respuesta :

Answer:

y = 17*(3)ˣ

Step-by-step explanation:

y=abˣ

(0,17) : 17 = a*b⁰ = a

(2,153) : 153 = a*b² = 17*b²

b² = 153/17 = 9

b = ± 3  ... (0,17) and (2,153) in first quadrant   b = 3

function: y = 17*(3)ˣ

rohiraakshay4

y = 17([tex]3^x[/tex]) is the needed exponential function that runs across locations (0, 17) and (2, 153).

Exponential Function:

The Exponential Function is a mathematical function that describes the relationship between two variables.

The real-valued function is always positive. e^x is the most well-known exponential function, with e as the base and x as the exponent.

What is the formula for computing an exponential function?

Let y = ab^x be the necessary exponential function.

We must now use the supplied circumstances to determine constants A and k.

Due to the fact that this exponential function goes through the position (0, 17)

Therefore

3 = ab^0

a = 17

In addition, the exponential function goes through the point (2, 153)

Therefore

153 = a b^2

Substitute the value of a

17b^2 = 153

b^2 = 9

b = ±3

Since b is base of the exponential function and base can not be negative for that therefore

b = 3

We now have an exponential function equation with these values.

y = 17(3^x)

This is the required exponential function.

Learn more about exponential function here-

https://brainly.com/question/11464095

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