Question No 3:
The function is Linear as highest power is 1.
Quadratic Term: None
Linear Term: x
Constant: -1
Question No 4:
The function is Quadratic as highest power is 2.
Quadratic Term: 2x^2
Linear Term: -3x
Constant: 5
Question No 5:
The function is Quadratic as highest power is 2.
Quadratic Term: 3x^2
Linear Term: 15x
Constant: None
Question No 6:
The function is Linear as highest power is 1.
Quadratic Term: None
Linear Term: 3x
Constant: -5
Question No 7:
The function is Quadratic as highest power is 2.
Quadratic Term: -2x^2
Linear Term: -8x
Constant: None
Step-by-step explanation:
Question No 3:
The term given is: [tex]y=x(1-x)-(1-x^2)[/tex]
Simplifying:
[tex]y=x-x^2-1+x^2\\y=x-1[/tex]
So, the function is Linear as highest power is 1.
Quadratic Term: None
Linear Term: x
Constant: -1
Question No 4:
The term given is: [tex]y=2x^2-(3x-5)[/tex]
Simplifying:
[tex]y=2x^2-(3x-5)\\y=2x^2-3x+5[/tex]
So, the function is Quadratic as highest power is 2.
Quadratic Term: 2x^2
Linear Term: -3x
Constant: 5
Question No 5:
The term given is: [tex]y=3x(x+5)[/tex]
Simplifying:
[tex]y=3x(x+5)\\y=3x^2+15x[/tex]
So, the function is Quadratic as highest power is 2.
Quadratic Term: 3x^2
Linear Term: 15x
Constant: None
Question No 6:
The term given is: [tex]y=3x-5[/tex]
Simplifying:
It is in simplest form.
[tex]y=3x-5[/tex]
So, the function is Linear as highest power is 1.
Quadratic Term: None
Linear Term: 3x
Constant: -5
Question No 7:
The term given is: [tex]f(x)=-x(2x+8)[/tex]
Simplifying:
[tex]f(x)=-x(2x+8)\\f(x)=-2x^2-8x[/tex]
So, the function is Quadratic as highest power is 2.
Quadratic Term: -2x^2
Linear Term: -8x
Constant: None
