SOLUTION: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. f(x) =

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. f(x) =       Log On


   

Question 145704: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.
f(x) = 3x + 2

Answer by nabla(475) About Me  (Show Source):
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f(1)=3+2=5
f(2)=3(2)+2=6+2=8
f(4)=3(4)+2=12+2=14
f(8)=3(8)+2=24+2=26
f(16)=3(16)+2=48+2=50

Notice that the difference between single digits is 3. This is the rate of change (slope). Also, we can see right away that it is in slope-intercept form.