Question 1

What does it mean when a function is evaluated at (x = c)?

Accepted Answer

It shows the actual value of the function when (x = c)

Answer

It shows the average of left and right limits

Answer

It shows how fast (f(x)) changes near (c)

Answer

It shows what the function approaches near (c)

Question 2

The expression (\lim_{x o c^-} f(x)) means:

Accepted Answer

(x) approaches (c) from values less than (c)

Answer

(x) equals (c) exactly

Answer

The limit does not exist

Answer

(x) approaches (c) from values greater than (c)

Question 3

In a graph, a hollow point (∘) represents:

Accepted Answer

A hole where the function is not defined

Answer

The function’s true value at that point

Answer

A vertical asymptote

Answer

A maximum value

Question 4

Which of the following describes a piecewise function?

Accepted Answer

A function with multiple rules depending on intervals of (x)

Answer

A function that never has limits

Answer

A function that uses one single rule for all (x)-values

Answer

A function with only asymptotes

Question 5

What does a broken or dashed line on a graph usually represent?

Accepted Answer

An asymptote

Answer

A point of intersection

Answer

A hole in the graph

Answer

A continuous function

Question 6

What is lim(x→3)(2x + 5)?

Accepted Answer

11

Answer

6

Answer

9

Answer

8

Question 7

What is lim(x→2)(x² - 4)?

Accepted Answer

0

Answer

4

Answer

undefined

Answer

-4

Question 8

What is lim(x→1)((x² - 1)/(x - 1))?

Accepted Answer

2

Answer

1

Answer

0

Answer

does not exist

Question 9

What is lim(x→0)(|x| / x)?

Accepted Answer

does not exist

Answer

1

Answer

0

Answer

-1

Question 10

What is lim(x→∞)((3x² + 2x)/(5x² - x))?

Accepted Answer

3/5

Answer

0

Answer

∞

Answer

5/3

Question 11

What is lim(x→2)((x² - 4)/(x - 2))?

Accepted Answer

4

Answer

2

Answer

0

Question 12

What is lim(x→0)(sin x / x)?

Accepted Answer

1

Answer

does not exist

Answer

0

Answer

∞

Question 13

What is lim(x→0)((1 - cos x) / x²)?

Accepted Answer

1/2

Answer

does not exist

Answer

0

Answer

1

Question 14

Which statement about limits is true?

Accepted Answer

The limit can exist even if the function is undefined at that point.

Answer

The limit of a function always equals its value.

Answer

If left and right limits differ, the limit still exists.

Answer

Limits are always finite.

Question 15

What is lim(x→4)(√(x + 5))?

Accepted Answer

3

Answer

5

Answer

2

Answer

9

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