The table below shows some values of a linear function f and
The table below shows some values of a linear function f and an exponential function g. Fill in exact values (not decimal approximations) for each of the missing entries.
x 0 1 2 3 4
f(x) 15 45 75 105 135
g(x) 15 ___ 75 ___ ___
x 0 1 2 3 4
f(x) 15 45 75 105 135
g(x) 15 ___ 75 ___ ___
Solution
x 0 1 2 3 4 f(x) 15 45 75 105 135 g(x) 15 ___ 75 ___ ___ f(x)=30x+15 g(x)=3*5^((x+2)/2) g(1)=3*5^1.5=33.54 g(3)=3*5^2.5=167.705 g(4)=3*5^3=375