So ,this function basically associate each real number to a constant value

It is a linear function where $f(x_1) =f(x_2) $ for all $x_1,x_2 \in R$

For $f : R \rightarrow R , y = f(x) = c$ for each $x \in R$

Domain = R

Range = {c}

The value of c can be any real number

We can draw the graph on the Cartesian plan with value of x on the x-axis and value of y=f(x) on the y-axis. We can plot the point and join the point to obtain the graph. Here in case of the constant function,the graph will be a straight line parallel to x-axis

It will be above x-axis if constant is positive

It will be below x-axis if constant is negative

It will be coincident with x-axis if constant is zero

It can concluded from above things above the ,the slope of constant function is 0

a. $y =x$

b. $y = 11$

c. $ y=\pi $

d. $ x + y=1$

e. $y =x^2$

For the function to be a constant function ,it should yield same value for each x

a. This is constant function as output is different for each input

b. This is constant function as output is same for each input. It is of the format y=c

c. This is constant function as output is same for each input. It is of the format y=c

d. This is constant function as output is different for each input

e. This is constant function as output is different for each input

2. which of the graph represent constant function?

The graph should be parallel to x-axis for the function to be constant function

So C and D are constant function

- Cartesian Products
- |
- What is relations?
- |
- What is Function
- |
- Domain of Function
- |
- Range of Function
- |
- Identity Function
- |
- Constant Function
- |
- Linear Function
- |
- Modules Function
- |
- Greatest Integer Function
- |
- Polynomial Function
- |
- Algebra of Real Function

Class 11 Maths Class 11 Physics

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