On one hand, functions are a fairly abstract concept, but on the other hand, they are very useful in many areas of mathematics. The topic of functions dominates many fields, including algebra, trigonometry, differential and integral calculus, and more. Therefore, it's important to understand the concept of functions, so that it can be applied in any of the fields of mathematics, and especially when we start learning about functions in seventh grade.

## Practice Functions

### Exercise #1

In what interval is the function increasing?

Purple line: $x=0.6$

x<0.6

### Exercise #2

In what domain does the function increase?

x > 0

### Exercise #3

In what domain is the function negative?

x > 1

### Exercise #4

In what domain is the function increasing?

### Video Solution

Entire$x$

### Exercise #5

In what domain does the function increase?

x<0 

### Exercise #1

In what domain does the function increase?

Black line: $x=1.1$

1.1 > x > 0

### Exercise #2

In which interval does the function decrease?

Red line: $x=1.3$

1.3 > x > -1.3

### Exercise #3

In what domain does the function increase?

Green line:
$x=-0.8$

### Video Solution

All values of $x$

### Exercise #4

In which interval does the function decrease?

Red line: $x=0.65$

### Video Solution

All values of $x$

### Exercise #5

In which domain is the function increasing?

10 > x > 0

### Exercise #1

In which domain does the function decrease?

x>3

### Exercise #2

In which domain is the function increasing?

### Video Solution

No upward dominance

### Exercise #3

In which domain does the function decrease?

### Video Solution

Answers B and C are correct

### Exercise #4

In which domain is the function increasing?