# Function Representation - Examples, Exercises and Solutions

## Ways to represent a function

### Algebraic Representation

Representation using an equation of $X$ and $Y$

### Graphical representation

Representation using a graph, plotting on the $X$ and $Y$ axis

### Tabular representation

Representation using a table $X,Y$ representing points on the graph

### Verbal representation

Expressing the relationship between $X$ and $Y$ using words

### Function notation

$Y=$ or $f(x)=$

## Practice Function Representation

### Exercise #1

Is the given graph a function?

No

### Exercise #2

Is the given graph a function?

No

### Exercise #3

Is the given graph a function?

No

### Exercise #4

Determine whether the following table represents a function

No

### Exercise #5

Determine whether the data in the following table represent a constant function

No

### Exercise #1

Is the given graph a function?

Yes

### Exercise #2

Is the given graph a function?

Yes

### Exercise #3

Is the given graph a function?

Yes

### Exercise #4

Is the given graph a function?

Yes

### Exercise #5

Determine whether the following table represents a function

Yes

### Exercise #1

Determine whether the following table represents a function

Yes

### Exercise #2

Determine whether the following table represents a function

Yes

### Exercise #3

Determine whether the following table represents a function

No

### Exercise #4

Which of the following equations corresponds to the function represented in the graph?

### Video Solution

$y=x+4$

### Exercise #5

Which of the following equations corresponds to the function represented in the graph?

### Video Solution

$y=3$