91Ó°ÊÓ

Graph each of the following linear and quadratic functions. $$f(x)=-(x-2)^{2}+4$$

Determine \((f \circ g)(x)\) and \((g \circ f)(x)\) for each pair of functions. Also specify the domain of \((f \circ g)(x)\) and \((g \circ f)(x)\). (Objective 1\()\) \(f(x)=3 x^{2}-2 x-4\) and \(g(x)=-2 x+1\)

Translate each statement of variation into an equation, and use \(k\) as the constant of variation. The intensity of illumination \((I)\) received from a source of light is inversely proportional to the square of the distance \((d)\) from the source.

Graph each of the functions. $$f(x)=\sqrt{x}+3$$

Translate each statement of variation into an equation, and use \(k\) as the constant of variation. The volume \((V)\) of a cone varies jointly as its height and the square of its radius.

Specify the domain and the range for each relation. Also state whether or not the relation is a function. $$\left\\{(x, y) \mid x^{2}=y^{3}\right\\}$$

Graph each of the following linear and quadratic functions. $$f(x)=-x+3$$

Determine \((f \circ g)(x)\) and \((g \circ f)(x)\) for each pair of functions. Also specify the domain of \((f \circ g)(x)\) and \((g \circ f)(x)\). (Objective 1\()\) \(f(x)=\frac{3}{x}\) and \(g(x)=4 x-9\)

Graph each of the functions. $$f(x)=\frac{1}{x}-2$$

Determine \((f \circ g)(x)\) and \((g \circ f)(x)\) for each pair of functions. Also specify the domain of \((f \circ g)(x)\) and \((g \circ f)(x)\). (Objective 1\()\) \(f(x)=-\frac{2}{x}\) and \(g(x)=-3 x+6\)