Question

Find the exponential function that contains the points (3,24) and (4,48).

Answer 1

The required  exponential function that contains the points (3,24) and (4,48) is y = 3(2)^x

Exponential functions

The standard exponential function is expresses as y = ab^x

Given the coordinate points (3,24) and (4,48), the equivalent equations are:

24 = ab^3 ......... 1

48 = ab^4

Take the ratios

48/24 = b^4/b^3

2 = b

Substitute b = 2 into equation 1

24 = a(2)^3

8a = 24

a = 3

Hence the required  exponential function that contains the points (3,24) and (4,48) is y = 3(2)^x

Learn more on exponential function here: brainly.com/question/12940982

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