Increasing and Decreasing Intervals of a Function: Finding Increasing or Decreasing Domains

In what interval is the function increasing?

Purple line: $x=0.6$

Let's remember that a function is increasing if both X values and Y values are increasing simultaneously.

A function is decreasing if X values are increasing while Y values are decreasing simultaneously.

In the graph, we can see that in the domain x < 0.6 the function is increasing, meaning the Y values are increasing.

x<0.6

In what domain does the function increase?

Let's remember that the function increases if the X values and Y values increase simultaneously.

On the other hand, the function decreases if the X values increase and the Y values decrease simultaneously.

In the given graph, we notice that the function increases in the domain where x > 0 meaning the Y values are increasing.

x > 0

In what domain is the function negative?

Let's remember that a function is increasing if both X values and Y values are increasing simultaneously.

A function is decreasing if X values are increasing while Y values are decreasing simultaneously.

In the graph, we can see that in the domain x > 1 the function is decreasing, meaning the Y values are decreasing.

x > 1

In what domain is the function increasing?

Let's remember that a function is increasing if both X values and Y values are increasing simultaneously.

A function is decreasing if X values are increasing while Y values are decreasing simultaneously.

In the graph shown, we can see that the function is increasing in every domain, therefore the function is increasing for all X.

Entire$x$

In what domain does the function increase?

Let's remember that the function increases if the X values and Y values increase simultaneously.

On the other hand, the function decreases if the X values increase and the Y values decrease simultaneously.

In the given graph, we notice that the function increases in the domain where x < 0 meaning the Y values are increasing.

x<0 $$

In what domain does the function increase?

Black line: $x=1.1$

Remember that a function is increasing if the X values and Y values are increasing simultaneously.

A function is decreasing if the X values are increasing and the Y values are decreasing simultaneously.

In the plotted graph, we can see that in the domain 1.1 > x > 0 the function is increasing, meaning the Y values are increasing.

1.1 > x > 0

In which interval does the function decrease?

Red line: $x=0.65$

Remember that a function is increasing if both X values and Y values are increasing simultaneously.

A function is decreasing if X values are increasing while Y values are decreasing simultaneously.

In the plotted graph, we can see that the function is decreasing in all domains. In other words, it is decreasing for all X.

All values of $x$

In which field does the function decrease?

Green line $x=-0.45$

Blue line $x=0.45$

Let's remember that the function increases if the X values and Y values increase simultaneously.

On the other hand, the function decreases if the X values increase and the Y values decrease simultaneously.

In the given graph, we notice that the function increases in the domain where -0.45 < x < 0.45 meaning the Y values are increasing.

0.45 > x > -0.45

In what domain does the function increase?

Let's remember that the function increases if the X values and Y values increase simultaneously.

On the other hand, the function decreases if the X values increase and the Y values decrease simultaneously.

In the given graph, we notice that the function increases in the domain where 1 > x > -1 meaning the Y values are increasing.

1 > x > -1

In which domain does the function decrease?

Let's remember that a function is increasing if both X values and Y values are increasing simultaneously.

A function is decreasing if X values are increasing while Y values are decreasing simultaneously.

According to the value table, we can see that in the domain x < 2 , X values are increasing while Y values are decreasing simultaneously. Therefore, the function is decreasing in the domain x < 2

x<2

In what domain does the function decrease?

Let's remember that the function increases if the X values and Y values increase simultaneously.

On the other hand, the function decreases if the X values increase and the Y values decrease simultaneously.

In the given graph, we notice that the function decreases in the domain where x < -1 meaning the Y values are decreasing.

x<-1

In which interval does the function decrease?

Red line: $x=1.3$

1.3 > x > -1.3

In what domain does the function increase?

Green line:
$x=-0.8$

All values of $x$

In what domain is the function decreasing?

0>x>-1,x>1

In which domain is the function increasing?

10 > x > 0

In which domain does the function decrease?

x>3

In which domain is the function increasing?

No upward dominance

In which domain does the function decrease?

Answers B and C are correct

In which domain is the function increasing?

x>0

In which domain does the function decrease?

x<0