This document discusses various types of non-linear functions including polynomial, constant, linear, quadratic, cubic, hyperbolic, exponential, and logarithmic functions. It provides examples of equations and graphs for each type of function. The key points are that polynomial functions can be quadratic, cubic, or other degrees and are represented by equations with variables and coefficients, while other non-linear functions like hyperbolic and exponential have unique shapes when graphed.

1. Presentation of Mathematics
On the topic
Non Linear Functions, Their Graphs, and Application

2. What is Polynomial Function?
• A polynomial function is a function such as a quadratic, a
cubic, a quartic, and so on
• The power of an indeterminate must not be negative.
A polynomial of degree n is a function of the form,
f(x) = anxn+ an-1xn-1+an-2xn-2+……….+a2x2+ a1x + ax0
where the a’s are real numbers (sometimes called the coefficients
of the polynomial).

3. Constant Function
0
0.5
1
1.5
2
2.5
-5 -4 -3 -2 -1 0 1 2 3 4 5
y

4. Linear Function
-1
0
1
2
3
4
5
6
-5 -4 -3 -2 -1 0 1 2 3 4 5
Y

5. Quadratic Function
-20
-10
0
10
20
30
40
50
60
-6 -4 -2 0 2 4 6
y

6. Cubic Function
-40
-30
-20
-10
0
10
20
30
40
50
-4 -3 -2 -1 0 1 2 3 4 5 6
y

7. X
Y
-40
-30
-20
-10
0
10
20
30
40
50
-4 -3 -2 -1 0 1 2 3 4 5 6
y

8. X
Y
-40
-30
-20
-10
0
10
20
30
40
50
-4 -3 -2 -1 0 1 2 3 4 5 6
y

9. Hyperbolic
Function


10. Dealing with
determination
of
Equilibrium,
where demand
function is a
hyperbolic.

11. Sketching the
graph of
Demand and
Supply
-200
0
200
400
600
800
1000
1200
1400
-100 0 100 200 300 400 500 600 700 800 900
Price
Quantity
Equilibrium
Demand Curve(50,116)

12. Exponential
and
Logarithm
Functions


13. Examples:
0
10
20
30
40
50
60
70
-3 -2 -1 0 1 2 3 4

14. Examples:
0
2
4
6
8
10
12
14
16
18
20
-2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5