Write an equation for the function that includes the points (3,12) and (4, 24) 10 points
fx=6/3 * 2^x
fx= 3/2 * 2^x
fx = 2x

Equation for the function is:

f(x) = (3/2) · 2ˣ

Step-by-step explanation:

We have been provided with 2 points

Point 1 : (3, 12)

Point 2 : (4, 24)

Testing all three equations:

Substitute x of Point 1 in the equation

f(x) = (6/3) · 2³

f(x) = 16

y = 16 ≠ 12

NOT TRUE

Substitute x of Point 2 in the equation:

f(x) = (6/3) · 2⁴

f(x) = 32 ≠ 24

NOT TRUE

Substitute x of Point 1 in the equation

f(x) = (3/2) · 2³

f(x) = 12

y = 12

TRUE

Substitute x of Point 2 in the equation:

f(x) = (3/2)· 2⁴

f(x) =  24

TRUE

Substitute x of Point 1 in the equation

f(x) = 2(3)

f(x) = 6

y = 6 ≠ 12

NOT TRUE

Substitute x of Point 2 in the equation:

f(x) = 2(4)

f(x) = 8 ≠ 24

NOT TRUE

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3

answer by yourhope:

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