Exploring Increasing and Decreasing Functions

What is the behavior of a function when its graph is going up as you move from left to right?

• Decreasing

• Undefined

• Constant

• Increasing

When is a function considered constant?

• When the graph is going up

• When the graph is going down

• When the graph is vertical

• When the graph is horizontal

What is the interval where the function is increasing in the first example?

• From -4 to -2

• From -2 to -1

• From 1 to 3

• From -1 to 1

Why do we use parentheses when describing intervals of increasing or decreasing functions?

• To include the endpoints

• To exclude the endpoints

• To indicate a range

• To show uncertainty

In the second example, what is the interval where the function is constant?

• From -2 to 2

• From 0 to 2

• From -2 to 0

• From -4 to -2

What is the interval where the function is decreasing in the second example?

• From -4 to -2

• From -2 to 0

• From 0 to 2

• From -infinity to -4

In the final example, what is a local maximum?

• A point where the function changes from increasing to decreasing

• A point where the function changes from decreasing to increasing

• A point where the function is constant

• A point where the function is undefined

What is the interval where the function is increasing in the final example?

• From -infinity to -2

• From -2 to 0

• From 2 to infinity

• From 0 to 2

What is the interval where the function is decreasing in the final example?

• From -infinity to -2

• From -2 to 0

• From 0 to 2

• From 2 to infinity

In the final example, what is a relative minimum?

• A point where the function is undefined

• A point where the function changes from decreasing to increasing

• A point where the function changes from increasing to decreasing

• A point where the function is constant