546
Область определения х∈[-3; 5]
область значений y∈[-3; 2]
точки пересечения с осью ох (-2; 0) (2; 0) (4; 0)
547
а) f(4)=0
f(-1)≈ -2,5
f(-3)=2
б) f(x)=0 при х=-2; 2; 4
f(x)>0 при x∈[-3; 2) и (2; 4)
f(x)>0 при x∈(-2; 2) и (4; 5]
548
a) 
0\\\ 5-3x>0\\\ -3x>-5\\\ 3x<5\\\ x<\frac{5}{3}\\\ x<1\frac{2}{3}\\\ (-\infty; 1\frac{2}{3})" alt="\frac{5-3x}{4}>0\\\ 5-3x>0\\\ -3x>-5\\\ 3x<5\\\ x<\frac{5}{3}\\\ x<1\frac{2}{3}\\\ (-\infty; 1\frac{2}{3})" align="absmiddle" class="latex-formula">
б) 
5\\\ x>\frac{5}{3}\\\ x>1\frac{2}{3}\\\ (1\frac{2}{3};+\infty )" alt="\frac{5-3x}{4}<0\\\ 5-3x<0\\\ -3x<-5\\\ 3x>5\\\ x>\frac{5}{3}\\\ x>1\frac{2}{3}\\\ (1\frac{2}{3};+\infty )" align="absmiddle" class="latex-formula">