Which of the following functions transforms y=f(x) moving it 5 units to the right?

Which of the following is a transformation of y=f(x) that translates this function down 3, shrinks it horizontally by a factor of 2, and reflects it about the x-axis?

Which of the following functions are onto? f:R rarr R defined by f(x)=2x+5

State which of the following function are onto and why? f:RtoR defined y f(x)=x^(3)-1

Which of the following is true about point of extremum x=a of function y=f(x)? At x=a , function y=f(x) may be discontinuous. At x=a , function y=f(x) may be continuous but non-differentiable. At x=a ,function y=f(x) may have point of inflection. none of these

Which of the following is true about point of extremum x=a of function y=f(x)? At x=a, function y=f(x) may be discontinuous.At x=a, function y=f(x) may be continuous but non-differentiable.At x=a, function y=f(x) may have point of inflection.none of these

The graph of f(x) is shown below : A transformation is applied that results in the following graph : Which of the following functions describes this graph ?

Which of the following is true about point of extremum x=a of function y=f(x)? (a) At x=a , function y=f(x) may be discontinuous. (b) At x=a , function y=f(x) may be continuous but non-differentiable. (c) At x=a ,function y=f(x) may have point of inflection. (d) none of these