 # Function Calculator

A Function Calculator is a free online tool that displays the graph of the given function. BYJU’S online function calculator tool makes the calculations faster, and it displays the graph of the function by calculating the x and y-intercept values, slope values in a fraction of seconds.

## How to Use a Function Calculator?

The procedure to use the function calculator is as follows:

Step 1: Enter the function f(x) in the given input field

Step 2: Click the button “Graph” to get the output

Step 3: The graph of the function will be displayed in a new window

### What are the Functions?

In algebra, a function is defined as an equation where it assigns exactly one output for the every given specified input. It is generally described as f(x). A function is a mathematical rule that defines the relationship between the dependent and independent variable. Mostly all mathematical formulas are expressions of known function. The graph of the function can be represented by calculating the x-intercept, y-intercept, slope value and the curvature value.

### Standard Form

The standard form to represent the function is given as follows:

f (x) = y

Here, “x” represents the input

“f” represents the function

“y” represents the output of the desired function

## Frequently Asked Questions on Function Calculator

Q1

### What is meant by the graph of a function?

The graph of a function is a graph of equations that have been solved for the variable “y”. The function is generally represented as f(x).

Q2

### What are the different types of functions?

The different types of functions are:

• Linear function
• Power function
• Exponential function
• Polynomial function
• Logarithmic function
Q3

### What is the difference between the relation and the function?

A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.

1. Help me solve this.Find out the rule
Input/Output
1 / 0
3 / 6
5 / 12
7 / 18
9 / 24

• The functions for the given input and outputs are:
(i) 1/0: The function should be y=f(x) ⇒ y= x- x
if x=1,
The output of the function should be
y= 1-1 = 0
(ii) 3 / 6: the function should be y= 2x
If x=3,
y=2(3)= 6
(iii) 5 / 12 : the function should be y= 2x+2
If x = 5, then y = 2(5)+2
y=12
(iv) 7 / 18: the function should be y=2x+4
If x= 7, then y = 2(7)+4
y=18
(v)9 / 24: the function should be y = 3x-3
If x = 9, then y= 3(9) – 3
y= 24.

2. What is the linear function??

6/16
8/24
10/25
12/28
14/30
16/38
18/32

• The functions for the given input and outputs are:
(i) 6/16: The function should be y=f(x) ⇒ y= 2x+4
if x=6,
The output of the function should be
y= 2(6)+4 = 16
(ii) 8 / 24: the function should be y= 3x
If x=8,
y=3(8)= 24
(iii) 10/ 25 : the function should be y= 2x+5
If x = 10, then y = 2(10)+5
y=25
(iv) 12 / 28: the function should be y=2x+4
If x= 12, then y = 2(12)+4
y=28
(v) 14 / 30: the function should be y = 2x+2
If x =14, then y= 2(14) +2
y= 30.
(vi) 16 / 38: the function should be y = 2x+6
If x =16, then y= 2(16) +6
y= 38.
(v) 18 / 32: the function should be y = 2x-4
If x =18, then y= 2(18) – 4
y= 32.

• what is f(8)=|x|

3. help me solve this
input / ouput
-2 / 4
-1 / 1
0 / 0
1 / 1
2 / 4

4. someone help me with

x y
0 1
1 3
2 5
3 7
4 9

what does the data represent in the function?

What is the domain of the function?

what is the range of the function?

• The domain of the function is 0,1, 2, 3, 4
The range of the function is 1, 3, 5, 7, 9

5. 1/3
5/31
10/66
4/24
Does any one know what the rule would be its a in n out table?

6. can someone help me find the rule to
1/48
2/24
3/16
4/12
6/6

???

7. X/Y
12/8
13/9
14/10
15/11

8. 0 1.5
1 -3
2 2
3 7
4 12

Can you help me find the function rule?

9. helpppp. whats the function rule, coefficient of determination, and is it a good fit for the data?
x | y
-1 | 10
0 | 6
4 | -3
8 | 0
12|14

10. is y=x^(3)-3x+9 a function?

11. For the input/output table, find each of the following

Input output
1 2
3 12
-2 2
-4 12
0 0
A) If the input is -5 what will the output be?
B) Describe the rule in words:
C) Describe the rule in symbols: if n is the input

12. X/Y
-1/-5
2/-2
4/0

What is the rule for the function machine?

13. what is the function for
2 / 6
1 / 9
2 / 10
3 / 15