To determine which function grows the fastest, we need to look at the highest degree of the polynomial in each function. The degree of a polynomial is the highest power of the variable (in this case, t).

A. 𝑓(𝑡)=2𝑡−𝑡^3: The highest degree is 3.
B. 𝑑(𝑡)=(1.1)𝑡: This is an exponential function, which grows faster than any polynomial function.
C. 𝑏(𝑡)=𝑡^4−3𝑡+9: The highest degree is 4.
D. ℎ(𝑡)=5𝑡+𝑡^5: The highest degree is 5.
E. 𝑐(𝑡)=𝑡^2−5𝑡: The highest degree is 2.

So, the function that grows the fastest is B. 𝑑(𝑡)=(1.1)𝑡, the exponential function.

Question

To determine which function grows the fastest, we need to look at the highest degree of the polynomial in each function. The degree of a polynomial is the highest power of the variable (in this case, t).

A. 𝑓(𝑡)=2𝑡−𝑡^3: The highest degree is 3.
B. 𝑑(𝑡)=(1.1)𝑡: This is an exponential function, which grows faster than any polynomial function.
C. 𝑏(𝑡)=𝑡^4−3𝑡+9: The highest degree is 4.
D. ℎ(𝑡)=5𝑡+𝑡^5: The highest degree is 5.
E. 𝑐(𝑡)=𝑡^2−5𝑡: The highest degree is 2.

So, the function that grows the fastest is B. 𝑑(𝑡)=(1.1)𝑡, the exponential function.

Knowee AI · Accepted Answer

To determine which function grows the fastest, we need to look at the highest degree of the polynomial in each function. The degree of a polynomial is the highest power of the variable (in this case, t).

A. 𝑓(𝑡)=2𝑡−𝑡^3: The highest degree is 3.
B. 𝑑(𝑡)=(1.1)𝑡: This is an exponential function, which grows faster than any polynomial function.
C. 𝑏(𝑡)=𝑡^4−3𝑡+9: The highest degree is 4.
D. ℎ(𝑡)=5𝑡+𝑡^5: The highest degree is 5.
E. 𝑐(𝑡)=𝑡^2−5𝑡: The highest degree is 2.

So, the function that grows the fastest is B. 𝑑(𝑡)=(1.1)𝑡, the exponential function.

Which of the following functions grows the fastest?A.𝑓(𝑡)=2𝑡−𝑡3f(t)=2 t −t 3 B.𝑑(𝑡)=(1.1)𝑡d(t)=(1.1) t C.𝑏(𝑡)=𝑡4−3𝑡+9b(t)=t 4 −3t+9D.ℎ(𝑡)=5𝑡+𝑡5h(t)=5 t +t 5 E.𝑐(𝑡)=𝑡2−5𝑡c(t)= t 2 −5t

Question

Solution

Similar Questions

Upgrade your grade with Knowee

Which of the following functions grows the fastest?A.𝑓(𝑡)=2𝑡−𝑡3f(t)=2 t −t 3 B.𝑑(𝑡)=(1.1)𝑡d(t)=(1.1) t C.𝑏(𝑡)=𝑡4−3𝑡+9b(t)=t 4 −3t+9D.ℎ(𝑡)=5𝑡+𝑡5h(t)=5 t +t 5 E.𝑐(𝑡)=𝑡2−5𝑡c(t)= t 2 −5t​

Question

Solution

Similar Questions

Upgrade your grade with Knowee

Which of the following functions grows the fastest?A.𝑓(𝑡)=2𝑡−𝑡3f(t)=2 t −t 3 B.𝑑(𝑡)=(1.1)𝑡d(t)=(1.1) t C.𝑏(𝑡)=𝑡4−3𝑡+9b(t)=t 4 −3t+9D.ℎ(𝑡)=5𝑡+𝑡5h(t)=5 t +t 5 E.𝑐(𝑡)=𝑡2−5𝑡c(t)= t 2 −5t