Which of following can represent a linear function for each x € R ?
1) f(x) = x^2 +5
2) f(x) = 1/x^2
3) f(x) = mx + c ,m is not equal to 0
4) f(x) = x^3 + 3x^2 + 2
And Please explain the Answer...
Answers
Answer:
Except 3rd one all can represent linear function.
Step-by-step explanation:
For all x ∈ R.
The value entered in option 1 : x²+5 will be nummerical.
The value entered in option 2 will also be numerical and will be in fractional form (x>1).
The value entered in option 4 will be numerical because of cubic equation and putting the value of x we get a numerical answer..
But,
In option 3rd, m ≠ 0. Hence mx + c will be a linear equation.
We can put the value of x too.
Then also it will be linear function......
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Answer:
Except 3rd one all can represent linear function.
The correct option is option 1,2,4
Step-by-step explanation:
For all x ∈ R.
The value entered in option 1 : x²+5 will be numerical.
The value entered in option 2 will also be numerical and will be in fractional form (x>1).
The value entered in option 4 will be numerical because of cubic equation and putting the value of x we get a numerical answer..
But,
In option 3rd, m ≠ 0. Hence mx + c will be a linear equation.
We can put the value of x too.
Then also it will be linear function......