Finding Function Rules

The derivative of which function is itself?

• e^x

• x

• sinx

• tanx

Find the rate of change for the equation:
f(x)= 2x + 5 
from x₁= - 4 to x₂ = 5

• 12

• 2

• 18

• -18

Which of the following actions are appropriate for finding a limit at infinity? Look for multiple answers.

• If the function is polynomial, look at rules for end behavior.

• If the function has a HA, that will determine the limit at infinity.

• If the function has a slant asymptote, look at the end behavior of that line (the slant asymptote)

• Look at the function graphically to determine end behavior.

Find the function rule for the function table.

• 2/n

• n + 2

• 2n

• n - 2

Find the function rule.

• y = 2x

• y = 2x+3

• y = 3x+3

• y = -2x+3

Find the function rule.

• y = -2x +10

• y = -2x -10

• y = 2x +10

• y = 2x-10

Identify the function rule that best represents the following statement:
A bottle rocket is being launched from the roof of an 80 meter tall building. If the rocket travels straight up at a rate of 22 m/s, what is the total height of the rocket as a function of time?

• H = 108x

• H = 80 - 22x

• H = 80 + 22x

• H = 80x + 22

Patrick earns $20 for every lawn that he mows. Write an equation used to find t, the total amount of money he earns from mowing n lawns.

• n = 20t

• t = 20n

• t = n + 20

• t = n - 20

The output is four times the input.

• y = x/4

• 4x

• y = 4x

• y = x +4

The number of multiple-choice questions on a test is ten times the number of open-ended questions.  Write a function that describes the relationship.

• y = 10x

• x = 10y

• y = 10 + x

• x = 10 + y