Which of the following are functions? A. {(x, y) : y2 = x, x, y ∈ R

1.	Which of the following are functions? A. {(x, y) : y2 = x, x, y ∈ R} B. {(x, y) : y = \|x\|, x, y, ∈ R} C. {(x, y) : x2 + y2 = 1, x, y ∈ R} D. {(x, y) : x2 – y2 = 1, x, y ∈ R}
Answer» Option : (B) A function is said to exist when we get a unique value of y for any value of x.. If we get 2 values of y for any value of x, then it is not a function.. Therefore, Option B is correct . NOTE : To check if a given curve is a function or not, draw the curve and then draw a line parallel to y-axis.. If it intersects the curve at only one point, then it is a function, else not..

Which of the following are functions? A. {(x, y) : y2 = x, x, y ∈ R} B. {(x, y) : y = |x|, x, y, ∈ R} C. {(x, y) : x2 + y2 = 1, x, y ∈ R} D. {(x, y) : x2 – y2 = 1, x, y ∈ R}

Answer»

Option : (B)

A function is said to exist when we get a unique value of y for any value of x..

If we get 2 values of y for any value of x, then it is not a function..

Therefore,

Option B is correct .

NOTE : To check if a given curve is a function or not, draw the curve and then draw a line parallel to y-axis.. If it intersects the curve at only one point, then it is a function, else not..

Discussion

No Comment Found

Related InterviewSolutions

Find fog and gof, if (i) f(x) = ex, g(x) = loge x(ii) f(x) = x2, g(x) = cos x(iii) f(x) = |x|, g(x) = sin x(iv) f(x) = x + 1, g(x) = ex(v) f(x) = sin−1 x, g(x) = x2
Write the names of any two C++ header files.
List the names of any two functions of iostream.h header file.
Pick the odd one out from the following and give reason.gets() getline() getch() getchar()
What is the main function of iostream.h header file?
In a C++ program, you forgot to include the header file iostream.h. What are the possible errors occur in that Program? Explain ?
Let ` f(x) =sqrt(9-x^(2))." then , dom " (f ) =?`A. `[-3,3]`B. `(-oo,-3]`C. `[3,oo)`D. `(-oo,-3] uu (4,oo)`
Let `f(x)=sqrt(cos x).` Then dom (f ) =?A. `[0.(pi)/(2)]`B. `[(3pi)/(2),2pi]`C. `[0,(pi)/(2)]uu[(3pi)/(2),2pi]`D. none of these
Let `f(x) = log (1-x) +sqrt(x^(2)-1). `Then dom (f )=?A. `(1,oo)`B. `(-oo,-1]`C. `[-1,1]`D. `(0,1)`
Let `A={1,2}andB={2,4,6}."Let "f={x,y):x""inA,yinBandandygt2x+1}`. Write f as a set of ordered paris. Show that f is a relation but not a function from A to B.

Which of the following are functions? A. {(x, y) : y2 = x, x, y ∈ R} B. {(x, y) : y = |x|, x, y, ∈ R} C. {(x, y) : x2 + y2 = 1, x, y ∈ R} D. {(x, y) : x2 – y2 = 1, x, y ∈ R}

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment