Answer:
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:
1) f(x) = 6/3 · 2ˣ
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
2) f(x) = 3/2· 2ˣ
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
3) f(x) = 2x
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
