91Ó°ÊÓ

Graph the function by applying an appropriate reflection. $$ p(x)=(-x)^{3} $$

Evaluate the function for the given value of \(x .\) (See Examples \(5-6)\) \(f(x)=x^{2}+3 x \quad g(x)=\frac{1}{x} \quad h(x)=5 \quad k(x)=\sqrt{x+1}\) $$k(8)$$

Write an equation of the line that satisfies the given conditions. Passes through (8,6) and is parallel to the \(x\) -axis.

Evaluate the function for the given values of \(x\). \(h(x)=\left\\{\begin{aligned} 2 & \text { for }-3 \leq x<-2 \\ 1 & \text { for }-2 \leq x<-1 \\ 0 & \text { for }-1 \leq x<0 \\\\-1 & \text { for } 0 \leq x<1 \end{aligned}\right.\) a. \(h(-1.7)\) b. \(h(-2.5)\) c. \(h(0.05)\) d. \(h(-2)\) \(\mathbf{e} . h(0)\)

Write the equation in standard form: \((x-h)^{2}+(y-k)^{2}=r^{2}\). Then if possible identify the center and radius of the circle. If the equation represents a degenerate case, give the solution set. (See Examples \(3-4)\) $$ 4 x^{2}+4 y^{2}-20 y+25=0 $$

Evaluate the function for the given value of \(x .\) (See Examples \(5-6)\) \(f(x)=x^{2}+3 x \quad g(x)=\frac{1}{x} \quad h(x)=5 \quad k(x)=\sqrt{x+1}\) $$f(-5)$$

Write an equation of the line that satisfies the given conditions. Passes through (-11,13) and is parallel to the \(y\) -axis.

Write the equation in standard form: \((x-h)^{2}+(y-k)^{2}=r^{2}\). Then if possible identify the center and radius of the circle. If the equation represents a degenerate case, give the solution set. (See Examples \(3-4)\) $$ 4 x^{2}+4 y^{2}-12 x+9=0 $$

Evaluate the function for the given values of \(x\). \(t(x)=\left\\{\begin{aligned} x & \text { for } 0

What is the slope of a line parallel to the \(x\) -axis?