# Test: Functions I - Challenging

Double click on maths expressions to zoom
Question 1:   If $f\left(x\right)=-\frac{1}{7}x+12$, find $f\left(4\right)$
$11\frac{6}{7}$
$11\frac{3}{7}$
$11\frac{5}{7}$
$11\frac{4}{7}$
Question 2:   If $f\left(x\right)=\sqrt{3-x}$, find $f\left(5\right)$
$0$
$-\sqrt{2}$
$\sqrt{2}$
Question 3:   If $f\left(x\right)=\frac{x}{x-2}$, find $f\left(-3\right)$
$\frac{2}{5}$
$\frac{1}{5}$
$\frac{3}{5}$
$1\frac{2}{3}$
Question 4:   If $f\left(x\right)=\sqrt{6-x}$, find $f\left(-18\right)$
$6$
$2\sqrt{6}$
$0$
Question 5:   If $f\left(x\right)=\sqrt{|x-7|}$, find $f\left(3\right)$
$2$
$-2$
$2\sqrt{3}$
Question 6:   What is the domain of: $f\left(x\right)=\frac{x+3}{\left(x-7\right)\left(x-4\right)}$
$x\in R$
$x\in R/\left\{-7,-4\right\}$
$x\in R/\left\{7,4\right\}$
Question 7:   What is the domain of: $f\left(x\right)=\sqrt{|5-x|}$
$x\in R$
$x\in R/\left\{5,0\right\}$
$x\in R/\left\{5\right\}$
$x\le 5$
Question 8:   Which function represents the following graph:

$f\left(x\right)=-7x+2$
$f\left(x\right)=\frac{2}{7}x+2$
$f\left(x\right)=7x+2$
$f\left(x\right)=-7x+2$
Question 9:   Which function represents the following graph:

$f\left(x\right)=|x+1|$
$f\left(x\right)=|x-1|$
$f\left(x\right)=\left(x+1\right)\left(-x+1\right)$
$f\left(x\right)=|x|+1$
Question 10:   Which function represents the following graph:

$f\left(x\right)={x}^{2}-1$
$f\left(x\right)=-{x}^{2}+1$
$f\left(x\right)=\frac{1}{2}{x}^{2}-1$
$f\left(x\right)=-\frac{1}{2}{x}^{2}+1$