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Define the function f : R ->R by y =...

Define the function f : R `->`R by y = f(x) = `x^2`, `x in R`. Complete the Table given below by using this definition. What is the domain and range of this function?Draw the graph of f.

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To solve the problem step-by-step, we will define the function, complete the table, determine the domain and range, and finally draw the graph. ### Step 1: Define the Function The function is defined as: \[ f: \mathbb{R} \rightarrow \mathbb{R} \] \[ y = f(x) = x^2 \] where \( x \) is any real number. ...
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NCERT ENGLISH-RELATIONS AND FUNCTIONS-SOLVED EXAMPLES
  1. Let N be the set of natural numbers. Define a real valued function f ...

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  2. Examine each of the following relations given below and state in each...

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  3. Define the function f : R ->R by y = f(x) = x^2, x in R. Comple...

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  4. Let N be the set of natural numbers and the relation R be defined on ...

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  5. Let f(x)=sqrt(x) and g(x) = x be two functions defined over the set ...

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  6. Let f(x)=x^2and g(x) = 2x + 1be two real functions. find (f +g)(x),...

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  7. Define the real valued function f : R {0} ->Rdefined by f(x)=1/x,...

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  8. Draw the graph of the function f : R-> Rdefined by f(x)=x^3, x in R...

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  9. Let R be a relation from Q to Q defined by R={(a,b):a,b in Q and a,b i...

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  10. Let R be the set of real numbers. Define the real function f : R ->Rb...

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  11. If (x + 1, y - 2) = (3, -1), find the values of x and y.

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  12. Let A= {1, 2, 3}, B = {3, 4}and C = {4, 5, 6}. Find(i) A xx(B nnC...

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  13. If P = {a , b , c}and A xxB = {(p , q), (p , r), (m , q), (m , r)}Q = ...

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  14. If R is the set of all real numbers, what do the cartesian products R...

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  15. If P = {1, 2}form the set P xxP xxP.

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  16. The function f is defined by f(x) ={[1-x \ x<0], [1 \ \ \ \ \ \ \ \ ...

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  17. Find the domain of the function f(x) =(x^2-3x+5)/(x^2-5x+4).

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  18. Let f = {(1, 2), (2, 3), (0, 1), ( -1, 0)}be a linear function fro...

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  19. If A xxB = {(p , q), (p , r), (m , q), (m , r)}, find A and B.

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  20. Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x...

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