Arrange the functions in descending order, starting with the function that eventually has the greatest value and ending with the function that eventually has the least value.

4x+1
4^x+1
x^2+4
8x
4^x
x^2

Question

Arrange the functions in descending order, starting with the function that eventually has the greatest value and ending with the function that eventually has the least value.

4x+1
4^x+1
x^2+4
8x
4^x
x^2

anonymous202 · Answer

What do you think

Mercury · Answer

some notes about these functions:

- linear functions will increase the least quickly. the lower the coefficient on x is, the slower the function will increase
- next highest to increase is functions where x is being raised to a power. the higher the power, the greater rate the function will increase
- finally, functions that have x inside the exponent will increase the fastest. if the base (a.k.a the b-value in b^x) is higher, the function will increase even faster

using these notes, try arranging the functions from greatest to least rate of increase