Question

Please help:Which function grows the fastest for large values of t?A. f(t)=2^tB. f(t)=0.5^tC. f(t)=2tD. f(t)=t^2+t+1

Answer 1

Given that,

Some of the functions of t given as,

f(t)=2^t

f(t)=0.5^t

f(t)=2t

f(t)=t^2+t+1

To find: The function grows the fastest for large values of t

Step-by-step explanation:

we get that given function are quadratic, linear and exponential.

Based on the definition,

The exponential function (b^t) with base (b) greater than 1 grows fastest for large values of t.

f(t)=2^t and f(t)=0.5^t are the two exponential functions, comparing the base, we get that,

2>1 and 2>0.5, we get that, The function grows the fastest for large values of t among the given function is,

`f\mleft(t\mright)=2^t`

Answer is:

The function grows the fastest for large values of t is,

`f\mleft(t\mright)=2^t`