# Test: Exponential and Logarithmic Functions - Challenging

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Question 1:   Find a point of intersection of a function  $y=\left|{e}^{x}-1\right|+2$  and y-axis
$\left(0;2\right)$
$\left(1;2\right)$
$\left(1;3\right)$
$\left(4;2\right)$
Question 2:   Which graph represents function:  $y={\left(-5\right)}^{-x}-1$    Question 3:   Find roots of a function  $y=\mathrm{ln}\left(\left|x\right|\right)$  by plotting a graph
$x=±1$
$x=-1$
$x=3$
$x=1$
Question 4:   Find root of a function  $y={e}^{\left|x-2\right|}-1$  by plotting a graph
$x=0$
$x=2$
$x=4$
$x=1$
Question 5:   Find  $t$  in the equation  $y={\mathrm{log}}_{10}\left(2x+t\right)$ $t=-2$
$t=1$
$t=3$
$t=-3$
Question 6:   Find  $t$  in the equation  $y={e}^{\left(x+1\right)}+t$  if a graph of a function: $t=0$
$t=-2$
$t=-1$
$t=2$
Question 7:   Which function represents the following graph: $y=-{e}^{x}$
$y={e}^{x}$
$y={\mathrm{log}}_{\frac{1}{5}}\left(x\right)$
$y={\mathrm{log}}_{5}\left(x\right)$
Question 8:   Which function represents the following graph: $y={\left(\frac{1}{2}\right)}^{x}$
$y={\mathrm{log}}_{\frac{1}{2}}\left(x\right)$
$y={\mathrm{log}}_{2}\left(x\right)$
$y={2}^{x}$
Question 9:   Find  $t$  in the equation $y={2}^{\left|x\right|}+t$ ,  if a graph of the function is: $t=2$
$t=3$
$t=4$
$t=1$
Question 10:   Find zero of a function  $y={\left(\frac{1}{2}\right)}^{\left|x+2\right|}-1$  by plotting a graph
$x=-1$
$x=-\frac{1}{2}$
$x=0$
$x=-2$