Question:
Show that function given by f(x)=7x 3 is strictly increasing on R.
Answer:
Given function is: f(x) = 7x - 3
Let x1 and x2 be any two numbers in R.
Then, x1 < x2
=> 7x1 < 7x2
=> 7x1 – 3 < 7x2 – 3
=> f (x1) < f (x2)
So, by definition, it follows that f is strictly increasing on R.
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