1.1 Review of functions  (Page 10/28)

a. Domain = $\left\{\mathrm{-3},\mathrm{-2},\mathrm{-1},0,1,2,3\right\},$ range = $\left\{0,1,4,9\right\}$ b. Yes, a function

a. Domain = $\left\{0,1,2,3\right\},$ range = $\left\{\mathrm{-3},\mathrm{-2},\mathrm{-1},0,1,2,3\right\}$ b. No, not a function

a. Domain = $\left\{3,5,8,10,15,21,33\right\},$ range = $\left\{0,1,2,3\right\}$ b. Yes, a function

a. $\mathrm{-2}$ b. 3 c. 13 d. $\mathrm{-5}x-2$ e. $5a-2$ f. $5a+5h-2$

a. Undefined b. 2 c. $\frac{2}{3}$ d. $-\frac{2}{x}$ e $\frac{2}{a}$ f. $\frac{2}{a+h}$

a. $\sqrt{5}$ b. $\sqrt{11}$ c. $\sqrt{23}$ d. $\sqrt{\mathrm{-6}x+5}$ e. $\sqrt{6a+5}$ f. $\sqrt{6a+6h+5}$

a. 9 b. 9 c. 9 d. 9 e. 9 f. 9

$x\ge \frac{1}{8};y\ge 0;x=\frac{1}{8};$ no y -intercept

$x\ge \mathrm{-2};y\ge \mathrm{-1};x=\mathrm{-1};y=\mathrm{-1}+\sqrt{2}$

$x\ne 4;y\ne 0;$ no x -intercept; $y=-\frac{3}{4}$

$x>5;y>0;$ no intercepts

Function; a. Domain: all real numbers, range: $y\ge 0$ b. $x=\pm 1$ c. $y=1$ d. $\mathrm{-1}<x<0$ and $1<x<\infty$ e. $\text{−}\infty <x<-1$ and $0<x<1$ f. Not constant g. y -axis h. Even

Function; a. Domain: all real numbers, range: $\mathrm{-1.5}\le y\le 1.5$ b. $x=0$ c. $y=0$ d. $\text{all real numbers}$ e. None f. Not constant g. Origin h. Odd

Function; a. Domain: $\text{−}\infty <x<\infty ,$ range: $\mathrm{-2}\le y\le 2$ b. $x=0$ c. $y=0$ d. $\mathrm{-2}<x<2$ e. Not decreasing f. $\text{−}\infty <x<-2$ and $2<x<\infty$ g. Origin h. Odd

Function; a. Domain: $\mathrm{-4}\le x\le 4,$ range: $\mathrm{-4}\le y\le 4$ b. $x=1.2$ c. $y=4$ d. Not increasing e. $0<x<4$ f. $\mathrm{-4}<x<0$ g. No Symmetry h. Neither

a. $5x^2+x-8;$ all real numbers b. $\mathrm{-5}{x}^2+x-8;$ all real numbers c. $5x^3-40x^2;$ all real numbers d. $\frac{x-8}{5x^2};x\ne 0$

a. $\mathrm{-2}x+6;$ all real numbers b. $\mathrm{-2}{x}^2+2x+12;$ all real numbers c. $\text{−}{x}^4+2x^3+12x^2-18x-27;$ all real numbers d. $-\frac{x+3}{x+1};x\ne \text{−}1,3$