Differentiability and Continuity

Question 1

If Teresa’s daughter is my daughter’s mother, what is my relation to Teresa?

Accepted Answer

Daughter

Question 2

The left-hand limit of f(x) as x→−7 is:

Accepted Answer

−∞

Question 3

The derivative f'(x) is:

Accepted Answer

3x2

Question 4

At the point x=−5, the function f(x) is:

Accepted Answer

Continuous but not differentiable

Question 5

If a function is differentiable, then it is continuous.

Accepted Answer

True

Question 6

On the interval (−7, −5), the derivative f'(x) is:

Accepted Answer

Positive

Question 7

On the interval (−2, 2), the function f(x) is:

Accepted Answer

Discontinuous

Question 8

The derivative f'(x)=

Accepted Answer

2x+1

Question 9

See the question in the image:

Accepted Answer

None of the above

Question 10

The limit of f(x) as x→5 is:

Accepted Answer

Non-existent

Question 11

You are running 3rd place in a race. What place will you be in when you pass the person in 2nd?

Accepted Answer

2nd

Question 12

As x increases from x=4, the derivative f'(x) is:

Accepted Answer

Increasing

Question 13

At x=4, the function f(x) is:

Accepted Answer

Negative

Question 14

On the interval (−2, 2), the function f(x) is:

Accepted Answer

Differentiable

Question 15

For the function f(x)=x3, the derivative f'(x) is:

Accepted Answer

Positive

Question 16

If a function is continuous, then it is differentiable.

Accepted Answer

Maybe

Question 17

The limit of f(x) as x approaches 0 is:

Accepted Answer

Non-existent

Question 18

What is Johnny Depp afraid of?

Accepted Answer

Clowns

Question 19

The derivative f'(x) at x=8 is:

Accepted Answer

Negative

Question 20

Find the derivative of: f(x)=12

Accepted Answer

0

Question 21

The limit of f(x) as x→−7 is:

Accepted Answer

−∞

Question 22

The limit of f(x) as x→−5 is:

Accepted Answer

4

Question 23

At x=−3, f(x) is:

Accepted Answer

Discontinuous

Question 24

As x→−∞, the slope of f(x) approaches:

Accepted Answer

0

Question 25

The right-hand limit of f(x) as x→5 is:

Accepted Answer

1

Question 26

The graph shown is:

Accepted Answer

Differentiable

Question 27

The left-hand limit of f(x) as x→0 is:

Accepted Answer

+∞

Question 28

How many squares are in this diagram?

Accepted Answer

40

Question 29

The graph shown is:

Accepted Answer

Not a function

Question 30

Find the derivative of: f(x)=x

Accepted Answer

1

Question 31

At x=−5, f(x) is:

Accepted Answer

Undefined

Question 32

On the interval (−10, −5), f(x) is:

Accepted Answer

Differentiable

Question 33

Which answer is correct?

Accepted Answer

5

Question 34

At x=0, f(x) is:

Accepted Answer

Differentiable

Question 35

If a leaf falls in a forest and no one hears it, does it make a sound?

Accepted Answer

No

Question 36

When I grow up, I want to:

Accepted Answer

Never do math again, Be a ballerina, Dog sled across Antarctica, Live on the moon

Question 37

At x=7/2, the derivative f'(x) is:

Accepted Answer

Positive

Question 38

Find the derivative of: f(x)=x2

Accepted Answer

2x

Question 39

The function f(x) is:

Accepted Answer

Differentiable

Question 40

At x=1, the derivative f'(x) is:

Accepted Answer

Negative

Question 41

Find the derivative of: f(x)=x-1

Accepted Answer

-x-2

Question 42

On the interval (−6, −4), the function f(x) is:

Accepted Answer

Discontinuous

Question 43

The function f(x) is:

Accepted Answer

Discontinuous

Question 44

Divide 30 by half and subtract 10:

Accepted Answer

50

Differentiability and Continuity

Questions 44

Differentiability and Continuity

Questions 44