Question

Find the function corresponding to the graph given below, $1\le x\le 3$ ( The function which closely describes the graph )

• A. $x^{\left[x\right]}$
• B. $[x{]}^x$
• C. $\left[x^3\right]$
• D. $\left[x^x\right]$

Answer 1

The correct option is A

$x^{\left[x\right]}$

Try out the options

For $1\le x<2$ , it's a linear curve in $x$

$y=x$ or $y=x^1$

For $1\le x<2$ , it's a curve similar to $y=x^2$

For $x=3$ , it's a curve similar to $y=x^3$

Only $x^{\left[x\right]}$ satisfies these conditions