Question

The graph of the hyperbolic tangent function for all real values is:

• A. Strictly increasing
• B. Strictly decreasing
• C. Strictly increasing in the interval $[0,\infty )$ and Strictly decreasing in the interval $(-\infty ,])$
• D. Strictly increasing in the interval $(-\infty ,0]$ and Strictly decreasing in the interval $[0,\infty )$

Answer 1

The correct option is A Strictly increasing

The graph of tangent hyperbolic function $h$

$\because f\left(x_1\right)>f\left(x_2\right)$ , where $x_1>x_2$

At any interval of $x$

Hece $f\left(x\right)$ is always increasing function.