Which of the following exponential functions goes through the points (1, 6) and (2, 12)?

Asked by maham237 @ 23/12/2020 in Mathematics viewed by 282 People

(04.07)
Which of the following exponential functions goes through the points (1, 6) and (2, 12)? (2 points)

f(x) = 3(2)x
f(x) = 2(3)x
f(x) = 3(2)−x
f(x) = 2(3)−x

Answered by maham237 @ 23/12/2020

Answer:

The correct option is 1.

Step-by-step explanation:

If the exponential function passing through a point it means the points satisfies the function.

If the exponential functions goes through the points (1, 6) and (2, 12). It means the value of the function at x=1 is 6 and the value of the function at x=2 is 12.

The first function is

$f(x)=3(2)^x$

Put x=1

$f(x)=3(2)^1=6$

Put x=2

$f(x)=3(2)^2=12$

Both points are satisfied by this function therefore the correct option is 1.

The second function is

$f(x)=2(3)^x$

Put x=1

$f(x)=2(3)^1=6$

Put x=2

$f(x)=2(3)^2=18$

This equation does not satisfy the second point therefore the option 2 is incorrect.

Since the power is in negative, therefore at x=2 the value of function is in the fraction form, therefore options 3 and 4 are incorrect.

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