Show that the function f(x) = 5x - 2 is ...

Show that the function `f(x) = 5x - 2` is a strictly increasing function on R

Verified by Experts

`x_(1) gt x_(2) rArr 5x_(1) gt 5x_(2)`
`rArr (5x_(1) - 2) gt (5x_(2) -2)`
`rArr f(x_(1)) gt f(x_(2))`

Similar Questions

Explore conceptually related problems

Show that the function f(x) = 3x + 2 is strictly increasing function on R.

Show that the function f(x) =- 5x + 2 is strictly decreasing function on R.

Show that the function f(x) = -2x + 7 is a strictly decreasing function on R

Without using the derivative show that the function f(x)=7x-3 is strictly increasing function on R.

Show that the function f(x) = 3 - 2x is strictly decreasing function on R.

Show that the function f(x)=x^(2) is a strictly increasing function on (0,oo).

Show that the function f(x)=x^(2) is strictly increasing function on [0,oo)

Show that the function f(x) = 2x+1 is strictly increasing on R.

Show that the function f(x) = e^(x) is strictly increasing on R.