Question

Which function below grows at the fastest rate for increasing values of x?

h(x)=6x2+1

f(x)=9x+14

g(x)=4x

j(x)=200x+5

Answer 1

g(x)=4^x

Explanation:

Just took the test. Good luck!

Answer 2

in order to solve which will have the fastest rate, then we will assume a value of x. so let assume that x = 100

a.) h(x) = 6x^2+1
h(x) = 6(100)^2 + 1
h(x) = 60001

b. f(x) = 9x+14
f(x) = 9(100) + 14
f(x) = 914

c. g(x) = 4x
g(x) = 4(100)
g(x) = 400

d. j(x) = 200x + 5
j(x) = 200(100) + 5
j(x) = 200005
so the answer is
j(x) = 200x + 5