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Problem 1

Specify the domain and the range for each relation. Also state whether or not the relation is a function. $$\\{(1,5),(2,8),(3,11),(4,14)\\}$$

Problem 1

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\()\) \(f(x)=3 x\) and \(g(x)=5 x-1\)

Problem 1

Translate each statement of variation into an equation, and use \(k\) as the constant of variation. \(y\) varies inversely as the square of \(x\).

Problem 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\()\) \(f(x)=4 x-3\) and \(g(x)=-2 x\)

Problem 2

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

Problem 2

Specify the domain and the range for each relation. Also state whether or not the relation is a function. $$\\{(0,0),(2,10),(4,20),(6,30),(8,40)\\}$$

Problem 2

Translate each statement of variation into an equation, and use \(k\) as the constant of variation. \(y\) varies directly as the cube of \(x\).

Problem 3

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

Problem 3

Translate each statement of variation into an equation, and use \(k\) as the constant of variation. \(C\) varies directly as \(g\) and inversely as the cube of \(t\).

Problem 3

Specify the domain and the range for each relation. Also state whether or not the relation is a function. $$\\{(0,5),(0,-5),(1,2 \sqrt{6}),(1,-2 \sqrt{6})\\}$$

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