Let function $$g$$ be defined as: $$g\left(x\right)=\frac{4\left(x+7\right)\left(x-2\right)^2\left(x-10\right)}{9x\left(x+7\right)^2\left(x-2\right)}$$ . What are the equations of all asymptotes? NOTE: V.A. is vertical asymptote and H.A. is horizontal asymptote.

V.A.: $$x=-7,\ x=0$$ H.A.: $$y=\frac{4}{9}$$

V.A.: $$x=2,\ x=10$$ H.A.: $$y=0$$

V.A.: $$x=-7,\ x=2,\ x=10$$ H.A.: $$y=\frac{4}{9}$$

V.A.: $$x=-7,\ x=0,\ x=2$$ H.A.: $$y=\frac{4}{9}$$

V.A.: $$x=-7,\ x=0$$ H.A.: $$y=0$$

Let function $$h$$ be defined as: $$h\left(x\right)=\frac{0.5}{0.25x+2}$$ . When compared to the parent function $$p\left(x\right)=\frac{1}{x}$$ , which statement lists the transformations of $$h$$ in comparison to $$p$$ correctly?

horizontal dilation by factor of $$4$$ , horizontal translation left $$8$$ , vertical dilation by factor of $$\frac{1}{2}$$

horizontal dilation by factor of $$4$$ , horizontal translation left $$8$$ , vertical dilation by factor of $$2$$

horizontal dilation by factor of $$\frac{1}{4}$$ , horizontal translation right $$8$$ , vertical dilation by factor of $$2$$

horizontal dilation by factor of $$\frac{1}{4}$$ , horizontal translation right $$2$$ , vertical dilation by factor of $$2$$

horizontal dilation by factor of $$4$$ , horizontal translation left $$2$$ , vertical dilation by factor of $$\frac{1}{2}$$

Let function $$k$$ be defined as: $$k\left(x\right)=\frac{x^2-7x-8}{x^2-64}$$ . What are the coordinates of the $$x$$ -intercept point(s) and the coordinates of the $$y$$ -intercept point(s) ?

$$x$$ -int: $$\left(-1,0\right)$$ $$y$$ -int: $$\left(0,\frac{1}{8}\right)$$

$$x$$ -int: $$\left(-8,0\right)$$ $$y$$ -int: $$\left(0,-\frac{1}{8}\right)$$

$$x$$ -int: $$\left(-8,0\right),\left(8,0\right)$$ $$y$$ -int: $$\left(0,-\frac{1}{8}\right)$$

$$x$$ -int: $$\left(1,0\right)$$ $$y$$ -int: $$\left(0,\frac{1}{8}\right)$$

$$x$$ -int: $$\left(1,0\right),\left(8,0\right)$$ $$y$$ -int: $$\left(0,\frac{1}{8}\right)$$

AP Precalculus Quiz 2 Fall 2024

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11th Grade

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