Option C. Increasing linear.
Given,
f ( x ) = 3(1.5)ˣ
Step 2
Put x = 0
f(0) = 3(1.5)° f(0) = 3 × 1 = 3
Put x = 1
f(1) = 3(1.5)° f(1) = 3 × 1.5 = 4.5
Put x = 2
f(2) = 3(1.5)² f(2) = 3 × 2.5 = 6.75
So on
Step 3
It is increasing with the increase in the value of x.
So, the given function is exponential growth.
Now, see the graph of the function.
How do you find the linear increase?
SubsectionLinear Growth
f(x)=(starting value)+(rate of change)⋅x. f ( x ) = ( starting value ) + ( rate of change ) ⋅ x . where the constant term, b, is the y-intercept of the line, and m, the coefficient of x, is the slope of the line.
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