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Hoochie [10]
3 years ago
13

Which exponential function goes through the points (1, 32) and (4, 2048)?

Mathematics
2 answers:
Gelneren [198K]3 years ago
8 0

C. f(x) = 8 (4)^x,

The explanation is shown in the images attached with the answer .

worty [1.4K]3 years ago
7 0

Answer:   f(x) = 4*(4)ˣ                              Option C


Explanation:  

We know the standard function of exponential function :

f(x) = a*bˣ

where is initial value

b is growth factor

x is time

Now given that two coordinates (1,32) & (4,2048)

Now put x = 1, f(x) = 32

32 = a*b¹

a*b = 32  ----------------------- (1)

now use second point

2048 = a * b⁴

a*b⁴ = 2048 ----------------------(2)

Now divide (2) / (1)

b³ = 64

b = 4

Put b = 4 in equation (1)

a (4) = 32

a = 8

So, final function is :

f(x) = 8*(4)ˣ


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