Exploring Graphical and Numerical Limit Finding

What is the process called when values get closer and closer to a certain point?

• Approximation

• Limiting process

• Integration

• Differentiation

Tags

CCSS.HSF.IF.A.2

In the context of limits, what does the notation 'lim f(x) as x approaches 3 from the right' signify?

• Approaching 3 from above

• Approaching 3 from both sides

• Approaching 3 from the right

• Approaching 3 from the left

What does it mean if a limit exists?

• The function has a maximum value

• The one-sided limits exist and are equal

• The function is differentiable

• The function is continuous

Tags

CCSS.HSF.IF.A.2

When approaching x = -1 from the positive side, what y-value do we get close to in the given example?

• 4

• 1

• 2

• 3

Tags

CCSS.HSF.IF.A.2

Why does the limit not exist when approaching x = -1 from both sides in the given example?

• The function is not defined at x = -1

• The function has a discontinuity at x = -1

• The function is continuous at x = -1

• The y-values are different from the left and right

What happens when approaching x = -2 from both sides in the given example?

• The limit is 0

• The limit does not exist

• The limit is 1

• The limit is 2

What is the approximate y-value when approaching x = 0 from both sides in the given example?

• 3.5

• 2.5

• 2.86

• 3

What does it mean if there is no plus or minus sign after the x-value in limit notation?

• Approach from the left

• Approach from both sides

• Approach from the right

• Approach from above

What is the focus when determining the limit of a function?

• The slope

• The y-value

• The x-value

• The intercept

What is the main difference between finding a limit and finding a slope using tables?

• Finding a limit is quicker and easier

• Finding a slope is quicker and easier

• Both are equally difficult

• Finding a limit requires more data