# Type of Function

1. Constant function

2. Identity function

3. Square function

4. Cube function

5. Linear function

6. Square root function

7. Reciprocal function

8. Absolute value function

9. Greatest integer function(step function)

1. CONSTANT FUNCTION

This is a special form of linear function.A function is said to be constant when its slope,m=0.The domain of a constant function is a set of all real numbers and its range is a single number y-intercept(b).The constant function is an even function whose graph is constant over the domain.The graph makes a horizontal line with its range (y-intercept (b)).The expression for the constant function is

F(x)=b, where b is a real number.

2. IDENTITY FUNCTION

This is also a special form of linear function but both the domain and range are sets of real numbers.Identity function has a graph where slope,m=1 and y-intercept is 0.The line consists of all points for which x-co-ordinate equals the y-co-ordinate.The identity function increases over its domain and the expression for identity function is

F(x)=x

3. SQUARE FUNCTION

The domain of a square function is a set of real numbers and the range ia set of all positive numbers.The graph is a parabola which intersects at(0,0).The square function is an even function that is decreasing on the interval (-∞,0) and increasing on the interval (0,∞).The expression is

F(x)=x^2

4.CUBE FUNCTION

The domain and range of a cube function is a set of real numbers.The intercept of a cube function graph is at(0,0).The function is odd an increases on the interval(-∞,∞),it is given as

F(x)=x^3

5.SQUARE ROOT FUNCTION

The domain and range of the square root function are the set of positive(non-negative) real numbers.The intercept of the graph is at (0,0).The square-root function is neither even nor odd and is increasing on the interval (0,∞).It is given as

F(x)=√x

6.LINEAR FUNCTION

The domain f consists of all real numbers.The graph of a linear function...

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