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Which equation represents an exponential function that passes through the point (2,80)

Which equation represents an exponential function that passes through the point (2,80)-example-1

2 Answers

3 votes

Answer:

The correct option is D).
f(x)=5(4)^(x)

Explanation:

Consider the provided statement:

We need to find the exponential function that passes through the point (2,80),

Now consider the provided option:

The equation
f(x)=4(x)^(5) and
f(x)=5(x)^(4) are not exponential function. Thus, these two options are wrong.

It is given that the exponential function passes through the point (2,80),

Substitute x = 2 in
f(x)=4(5)^(x).


f(2)=4(5)^(2)


f(2)=4(25)


f(2)=100

Therefore, this function doesn't passes through the point (2,80).

Substitute x = 2 in
f(x)=5(4)^(x).


f(2)=5(4)^(2)


f(2)=5(16)


f(2)=80

Hence, the correct option is D).
f(x)=5(4)^(x).

User Marvin Klar
by
4.8k points
1 vote

Answer:

D

Explanation:

The point (2,80) has the input value x = 2.

Substitute x = 2 into each function.


f(x) = 5 (4^x)\\f(2) = 5(4^2)\\f(2) = 5 *16\\f(2) = 80

User Smftr
by
4.7k points
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