Related InterviewSolutions

• Does the fraph of the function ` f (x) = x^(2) -3` have y - axis symmetry?
• Which of the following pairs of graphs intersect? (i) ` y = x^(2) -x and y = 1` (ii) ` y = x^(2) - 2x + 3 and y = sin x ` (iii) ` y = x^(2) - x+1 and y = x-4`
• Does the graph below represent a function or a relation?
• The graph of y = f(x) is shown, find the number of solution of f(f(x)) = 2.
• In how many points graph of `y=x^3-3x2+5x-3`interest the x-axis?
• Find the asymptote of the function ` y = (2x^(2) + 3x + 1)/ x` if any.
• In the following graph, state the absolute and local maximum and minimum values of the function.
• The graph of ` y = f(x)` is as shown in the following figure. Identify the points of discontinuity and give the reason for the same.
• Which of the following functions has (have) y-symmetry or origin symmetry? (i) ` f(x) = x^(2) sin x" "(ii) f(x) = log (x+sqrt(1+x^(2)))` (iii)` f(x) = (e^(x)+e^(-x))/2" "(iv) f(x) = {{:(0", ""If x is rational "),(1", " "If x is irrational"):}`
• Let `f:R->R` and `g:R->R` be two one-one and onto functions such that they are mirror images of each other about the line `y=a`. If `h(x)=f(x)+g(x)`, then `h(x)` is (A) one-one onto (B) one-one into (D) many-one into (C) many-one onto