Exploring Adding and Subtracting Rational Expressions

When reading a function to determine its intervals, in which direction should you read?

• Left to right

• Bottom to top

• Top to bottom

• Right to left

What does it mean if a function is moving upwards from left to right?

• The function is undefined

• The function is constant

• The function is increasing

• The function is decreasing

In interval notation, how would you represent a function that increases from negative infinity to -1?

• [-∞, -1)

• [-∞, -1]

• (-∞, -1)

• (-∞, -1]

Which of the following is the correct inequality notation for a function that is constant from -1 to 4?

• -1 ≥ x ≥ 4

• -1 > x > 4

• -1 ≤ x ≤ 4

• -1 < x < 4

Why are intervals of increase, decrease, and constant always open?

• Because the function is continuous at those points

• Because the function is discrete at those points

• Because the function changes behavior at those points

• Because the function is undefined at those points

In a graph where the function increases until x = 3 and then decreases, what is the interval of increase?

• (-∞, 3)

• (-∞, 3]

• [3, ∞)

• (3, ∞)

What is the end behavior of a function as x approaches positive infinity if the function points downward?

• f(x) approaches positive infinity

• f(x) approaches zero

• f(x) approaches negative infinity

• f(x) remains constant

As x approaches negative infinity, what happens to f(x) if the graph points upward?

• f(x) approaches positive infinity

• f(x) approaches zero

• f(x) approaches negative infinity

• f(x) remains constant

If a function's graph is going upward on both sides, what is the end behavior as x approaches positive and negative infinity?

• f(x) approaches zero on both sides

• f(x) remains constant on both sides

• f(x) approaches positive infinity on both sides

• f(x) approaches negative infinity on both sides

In the context of end behavior, what does it mean if f(x) approaches negative infinity as x approaches positive infinity?

• The function is constant

• The function is increasing

• The function is decreasing

• The function is undefined