To determine which function grows the least, we need to understand the general behavior of each function.

A. 𝑔(𝑡)=3𝑡^2−𝑡: This is a quadratic function. It grows faster as t increases.

B. 𝑐(𝑡)=𝑡^2−5𝑡: This is also a quadratic function. It grows faster as t increases.

C. 𝑒(𝑡)=𝑒: This is a constant function. It does not grow at all as t changes.

D. 𝑎(𝑡)=𝑡^5/2: This is a power function. It grows very fast as t increases.

E. 𝑖(𝑡)=ln(𝑡/100): This is a logarithmic function. It grows slowly as t increases.

Comparing these functions, the function that grows the least is the constant function 𝑒(𝑡)=𝑒.

Question

To determine which function grows the least, we need to understand the general behavior of each function.

A. 𝑔(𝑡)=3𝑡^2−𝑡: This is a quadratic function. It grows faster as t increases.

B. 𝑐(𝑡)=𝑡^2−5𝑡: This is also a quadratic function. It grows faster as t increases.

C. 𝑒(𝑡)=𝑒: This is a constant function. It does not grow at all as t changes.

D. 𝑎(𝑡)=𝑡^5/2: This is a power function. It grows very fast as t increases.

E. 𝑖(𝑡)=ln(𝑡/100): This is a logarithmic function. It grows slowly as t increases.

Comparing these functions, the function that grows the least is the constant function 𝑒(𝑡)=𝑒.

Knowee AI · Accepted Answer

To determine which function grows the least, we need to understand the general behavior of each function.

A. 𝑔(𝑡)=3𝑡^2−𝑡: This is a quadratic function. It grows faster as t increases.

B. 𝑐(𝑡)=𝑡^2−5𝑡: This is also a quadratic function. It grows faster as t increases.

C. 𝑒(𝑡)=𝑒: This is a constant function. It does not grow at all as t changes.

D. 𝑎(𝑡)=𝑡^5/2: This is a power function. It grows very fast as t increases.

E. 𝑖(𝑡)=ln(𝑡/100): This is a logarithmic function. It grows slowly as t increases.

Comparing these functions, the function that grows the least is the constant function 𝑒(𝑡)=𝑒.

Which of the following functions grows the LEAST?A.𝑔(𝑡)=3𝑡2−𝑡g(t)=3t 2 −tB.𝑐(𝑡)=𝑡2−5𝑡c(t)= t 2 −5t C.𝑒(𝑡)=𝑒e(t)=eD.𝑎(𝑡)=𝑡52a(t)=t 25 E.𝑖(𝑡)=ln⁡(𝑡100)i(t)=ln(t 100 )