Home
Class 12
MATHS
Draw and discuss the graph of f(x) = x+s...

Draw and discuss the graph of `f(x) = x+sqrt(x-1)`

Text Solution

Verified by Experts

We have `f(x)=x+sqrt(x-1)`
Clearly, domain of the function is `[1, infty]`
Also increasing the value of x, the values of `f(x)` increases up to infinity.
Hence, the function is increasing.
`f(1)=1`
Also, `f^(')(x) = 1+1/(2sqrt(x-1))` and `f^('')(x)=-1/(4(x-1)^(-3//2)) lt 0`, hence, the graph is concave downward throughout.
Hence, the graph of the function is as shown in the following figure.
Promotional Banner

Topper's Solved these Questions

  • CURVE TRACING

    CENGAGE|Exercise Exercise|24 Videos

  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

  • DEFINITE INTEGRATION

    CENGAGE|Exercise JEE Advanced Previous Year|38 Videos

Similar Questions

Explore conceptually related problems

Draw and discuss the graph of f(x) = x^(2//3)-x^(4//3)

Draw the graph of f(x) = sqrt(sin x) .

Draw and discuss the graph of the function f(x) = e^(1//x)

Draw the graph of f(x) = x|x| .

Draw the graph of f(x) = sqrt(1-e^(-x^(2))

Draw the graph of y=sqrt(x)/(x-1)

Draw the graph of y=f(x)=sqrt(1-cosx)

Draw the graph of y= sqrt (x^(2)-1)

Draw the graph of f(x) = sgn (x - 2) .

Draw the graph of f(x)=x^(2)-3