MCV4U Final Exam Review: Rate of Change

Question 1

Point A is a _________________?

Accepted Answer

local minimum

Question 2

The average rate of change from BD is ________ than the instantaneous rate of change at C

Accepted Answer

less

Question 3

What type of asymptote is found when you find the limit f(x) as x-----> ±∞

Accepted Answer

horizontal asymptotes

Question 4

The ______________ is when a tangent is used to find the rate of change (at only one point).

Accepted Answer

instantaneous rate of change

Question 5

The limit of the following function, as x ---> 3, is ______________

Accepted Answer

dne (does not exist)

Question 6

Given the function f(x) = x100 + 100x-2, the derivative of the function f'(x) = ?

Accepted Answer

100x99 - 200x-3

Question 7

Given the function g(x) = ∛x , the derivative of the function g'(x) = ?

Accepted Answer

x-2/3 / 3

Question 8

The limit as x-->-4 is

Accepted Answer

2

Question 9

The process of finding a derivative by using limits and f(x+h)-f(x) is called ?

Accepted Answer

first principles

Question 10

Another notation to represent derivative is ?

Accepted Answer

dy/dx

Question 11

Point D is a _________________?

Accepted Answer

local maximum

Question 12

The value of f(-4) is

Accepted Answer

-2

Question 13

The limit of the following function ?

Accepted Answer

7

Question 14

Given the function f(x) = -3x3 + x2 + 1, the derivative of the function f'(x) = ?

Accepted Answer

-9x2 + 2x

Question 15

Given the function f(x) = x4/5 , the derivative of the function f'(x) = ?

Accepted Answer

4x-1/5 / 5

Question 16

The rate of change of a function is the _________________ ?

Accepted Answer

slope

Question 17

The instantaneous rate of change at point D is

Accepted Answer

0

Questions 17