Show that the function f (x) = ax, a > 1 is strictly increasing on R.
Asked by Topperlearning User | 6th Aug, 2014, 09:18: AM
Expert Answer:
Let x1, x2 Î R such that x1 < x2. Then,
x1 < x2
=> ax1 < ax2 [Since a>1 also, x1>x2 =>ax1 > ax2]
=> f (x1) < f (x2)
Thus, x1, x2 Þ f(x1) < f(x2) for all x1, x2 Î R
Hence, f (x) is strictly increasing function on R
Answered by | 6th Aug, 2014, 11:18: AM
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