Answer:
f(x) = 3x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)
m = = 3 , then
y = 3x ← is the equation of the graphed line
Given:
The table of values of an exponential function.
To find:
The function for the given table of values.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value and b is growth factor.
From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.
...(ii)
...(iii)
On dividing (iii) by (ii), we get
Putting in (ii), we get
Putting in (i), we get
The function notation with variable n is:
Therefore, the correct option is D.
