If a continuous function `f` defined on the real line R assume positive and negative values in R, then the equation `f(x)=0` has a root in R. For example, if it is known that a continuous function `f` on R is positive at some point and its minimum value is negative, then the equation `f(x)=0` has a root in R. Consider `f(x)= ke^(x)-x`, for all real x where k is a real constant.
The line `y=x` meets `y=ke^(x)` for `k le 0` at

If a continuous function f defined on the real line R , assumes positive and negative values in R then the equation f(x)=0 has a root in R . For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x)=0 has a root in Rdot Consider f(x)=k e^x-x for all real x where k is a real constant The line y=x meets y=k e^x for klt=0 at no point (b) one point two points (d) more than two points

If a continous founction of defined on the real line R, assumes positive and negative values in R, then the equation f(x)=0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum values is negative, then the equation f(x)=0 has a root in R. Considetr f(x)=ke^(x)-x for all real x where k is real constant. The positive value of k for which ke^(x)-x=0 has only root is

If a continous founction of defined on the real line R, assumes positive and negative values in R, then the equation f(x)=0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum values is negative, then the equation f(x)=0 has a root in R. Considetr f(x)=ke^(x)-x for all real x where k is real constant. For k gt 0, the set of all values of k for which ke^(x)-x=0 has two distinct, roots, is

Let f(x) be a continuous function defined for AA x in R. if f(x) take rational value AA x in R and f(2)=198, then f(2^(2))=...

If the equation 4x^(3)+5x+k=0(k in R) has a negative real root then

If a real valued function f(x) satisfies the equation f(x+y)=f(x)+f(y) for all x,y in R then f(x) is

Let f:R rarr R be a continuous onto function satisfying f(x)+f(-x)=0AA x in R, If f(-3)=2 and f(5)=4 in [-5,5], then the equation f(x)=0 has

If f be a function defined as f(x) = p for each x in R , where p is a real number, then f is called

If a real function f(x) satisfies the relation f(x) = f(2a -x) for all x in R . Then, its graph is symmetrical about the line.