91Ó°ÊÓ

Exer. 13-26: Sketch, on the same coordinate plane, the graphs of \(f\) for the given values of \(c\). (Make use of symmetry, shifting, stretching, compressing, or reflecting.) $$ f(x)=|x-c| ; \quad c=-3,1,3 $$

Exer. 1-20: Sketch the graph of the equation, and label the \(x\) - and \(y\)-intercepts. $$ y=\frac{1}{2} x^{3} $$

Exer. 15-16: Sketch the graph of the line through \(P\) for each value of \(m\). $$ P(3,1) ; \quad m=\frac{1}{2},-1,-\frac{1}{5} $$

Exer. 1-20: Sketch the graph of the equation, and label the \(x\) - and \(y\)-intercepts. $$ y=x^{3}-8 $$

Exer. 11-20: Find (a) \((f \circ g)(x)\) (b) \((g \circ f)(x)\) (c) \(f(g(-2))\) (d) \(g(f(3))\) $$ f(x)=2 x^{2}+3 x-4, \quad g(x)=2 x-1 $$

Exer. 13-26: Sketch, on the same coordinate plane, the graphs of \(f\) for the given values of \(c\). (Make use of symmetry, shifting, stretching, compressing, or reflecting.) $$ f(x)=-x^{2}+c ; \quad c=-4,2,4 $$

Exer. 13-22: (a) Use the quadratic formula to find the zeros of \(f\). (b) Find the maximum or minimum value of \(f(x)\). (c) Sketch the graph of \(f\). $$ f(x)=-12 x^{2}+11 x+15 $$

Exer. 11-20: Find (a) \((f \circ g)(x)\) (b) \((g \circ f)(x)\) (c) \(f(g(-2))\) (d) \(g(f(3))\) $$ f(x)=5 x-7, \quad g(x)=3 x^{2}-x+2 $$

Exer. 1-20: Sketch the graph of the equation, and label the \(x\) - and \(y\)-intercepts. $$ y=-x^{3}+1 $$

Exer. 15-16: Sketch the graph of the line through \(P\) for each value of \(m\). $$ P(-2,4) ; \quad m=1,-2,-\frac{1}{2} $$