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Important Type of Functions | Mathematics (Maths) Class 11 - Commerce PDF Download
C. Important Type of Functions
(2) Polynomial Function :
f(x) = a0xn + a1xn - 1 + a2 xn-2 +.......+ an
where 
(3) Algebraic Function : A function is called an algebraic function. If it can be constructed using algebraic operations such as additions, subtractions, multiplication, division taking roots etc.
All polynomial functions are algebraic but converse is not true.
Remark : Function which are not algebraic are called as TRANSCENDENTAL FUNCTION.
(4) Rational Function : It is a function of form f(x) = g(x)/h(x )where g(x) & h(x) are poly. function and h(x) ≠ 0
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FAQs on Important Type of Functions - Mathematics (Maths) Class 11 - Commerce
| 1. What is the definition of a function in mathematics? |  |
Ans. In mathematics, a function is a relation between a set of inputs, also known as the domain, and a set of outputs, known as the range. It assigns each input value to exactly one output value, meaning that for each input, there is a unique corresponding output.
| 2. Can a function have more than one output for a single input? | |
Ans. No, a function cannot have more than one output for a single input. According to the definition of a function, each input must have a unique output. If there are multiple outputs for a single input, it would violate the definition and would not be considered a function.
| 3. What are the different types of functions? | |
Ans. There are several types of functions in mathematics, including linear functions, quadratic functions, exponential functions, logarithmic functions, and trigonometric functions. Each type has its own unique characteristics and mathematical representations.
| 4. What is the domain and range of a function? | |
Ans. The domain of a function refers to the set of all possible input values for the function. It represents the values for which the function is defined. The range of a function, on the other hand, refers to the set of all possible output values. It represents the values that the function can produce.
| 5. How can we determine if a relation is a function? | |
Ans. To determine if a relation is a function, we can use the vertical line test. If every vertical line intersects the graph of the relation at most once, then the relation is a function. This means that each input value has a unique output value, satisfying the definition of a function.
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