Question 1

What concept is most essential in calculus because other core concepts such as continuity, the derivative, and the integral are all based on it?

Accepted Answer

Limit

Answer

Rate

Answer

Tangent

Answer

Slope

Question 2

Which of the following will make lim_x→c f(x) and f(c) equal?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 3

Given the table of values of the function below, what is its limit as x approaches -1?

Accepted Answer

4

Answer

DNE

Answer

-1

Answer

3.9997

Question 4

If c is a constant, what is the limit of c as x approaches a?

Accepted Answer

c

Answer

a

Answer

0

Answer

x

Question 5

What limit law is used in the given below?

Accepted Answer

Addition Law

Answer

Identity Law

Answer

Constant Law

Answer

Power Law

Question 6

What is the evaluated limit of $3x^4$ as x approaches $\frac{1}{2}$ ?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

0

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 7

What is the $3x^4$ ?

Accepted Answer

3

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

5

Question 8

Which of the following corresponds to the $3x^4$ when evaluated?

Accepted Answer

4

Answer

2

Answer

0

Answer

DNE

Question 9

Using the graph of the exponential function below, what is the $3x^4$ ?

Accepted Answer

6

Answer

8

Answer

2

Answer

0

Question 10

What is the limit of $3x^4$ ?

Accepted Answer

0

Answer

-1

Answer

1

Answer

1/2

Question 11

Based on the graph of the function below, where do the discontinuities of f(x) occur?

Accepted Answer

x = 1, x = -1

Answer

x = 0

Answer

x = 1

Answer

x = -1

Question 12

What makes a function f(x) continuous at x = c?

Accepted Answer

I, II, and III

Answer

I and II only

Answer

I only

Answer

II and III only

Question 13

Given the graph below, what can you say about the function at (-1,1)?

Accepted Answer

Continuous

Answer

Not Continuous

Question 14

Given the graph below, what can you say about the function at x = -2?

Accepted Answer

Continuous

Answer

Not Continuous

Question 15

Given the graph below, what can you say about the function at x = -1?

Accepted Answer

Not Continuous

Answer

Continuous

Question 16

Given the graph below, what can you say about the function at x = 1?

Accepted Answer

Not Continuous

Answer

Continuous

Question 17

Given the graph below, what can you say about the function at x = 0?

Accepted Answer

Continuous

Answer

Not Continuous

Question 18

Given the graph below, what can you say about the function at [-2,1)?

Accepted Answer

Not Continuous

Answer

Continuous

Question 19

Which of the following is NOT TRUE about the tangent line intersecting the graph of a function?

Accepted Answer

It is impossible for a tangent line to intersect the graph of a curve at two or more points.

Answer

The point where the tangent line and the graph meet is the point of tangency.

Answer

The tangent line to a graph at a point is the line that touches the graph and has the same direction as the graph at the point where they meet.

Answer

The rate of change of the graph at a given point is the slope of the tangent line at that point.

Question 20

Which of the following represents the derivative of f at x?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 21

Which of the following is TRUE for all?

Accepted Answer

The differentiability of a function guarantees continuity.

Answer

All functions are continuous at all points in its domain.

Answer

All functions are differentiable at all points in its domain.

Answer

The continuity of a function guarantees differentiability.

Question 22

What is the derivative of $3x^4$ ?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 23

What is the derivative of $3x^4$ ?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 24

What is the equation of the tangent line to the curve $3x^4$ where x = 1?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 25

What is the derivative of $3x^4$ ?

Accepted Answer

-8 sin x

Answer

8 sin x

Answer

-16 sin x

Answer

16 sin x

Question 26

What are the absolute maximum and minimum values of the function?

Accepted Answer

3 and -2.08

Answer

2.08 and -3

Answer

3.08 and -2

Answer

2 and -3.08

Question 27

Which function is Chain Rule most useful for?

Accepted Answer

Composite function

Answer

Logarithmic function

Answer

Trigonometric function

Answer

Polynomial function

Question 28

What is the derivative of $3x^4$ ?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 29

Whatis the derivative of $3x^4$ ?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 30

What is the derivative of $3x^4$ ?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 31

What is the derivative of $3x^4$ using implicit differentiation?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 32

What is $3x^4$ , where $\frac{1}{2}$ using implicit differentiation?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 33

When is a function F an antiderivative of a function f?

Accepted Answer

if F’(x) = f(x) for all x in the domain of f

Answer

none of these

Answer

if F(x) is continuous for all x in the domain of f

Answer

if F(x) is differentiable for all x in the domain of f

Question 34

Which of the following represents the symbol for the indefinite integral?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 35

$\lim_{x o-1}\left(x^3-2x+3
ight)$ is an antiderivative of what function?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 36

What is the indefinite integral of $3x^4$ ?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 37

What is $3x^4$ ?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 38

Using the concept of the derivative of sin x, what is the antiderivative of sin x?

Accepted Answer

-cos x + C

Answer

2 cos x + C

Answer

-2 cos x + C

Answer

cos x + C

Question 39

What is $3x^4$ ?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Question 40

What is the equation of the curve that passes through the point (-2,3) and whose slope function is given by 4 – 2x?

Accepted Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

Answer

$\lim_{x o-1}\left(x^3-2x+3
ight)$

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