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Problem 17

Use the point on the line and the slope of the line to find three additional points through which the line passes. \(\begin{array}{ll}\text { Point } & \text { Slope }\end{array}\) \((5,-2) \quad m=0\)

Problem 17

Determine whether the equation represents \(y\) as a function of \(x\). \(x^{2}+y^{2}=4\)

Problem 18

Describe the increasing and decreasing behavior of the function. Find the point or points where the behavior of the function changes. \(f(x)=x^{2 / 3}\)

Problem 18

Evaluate the function for \(f(x)=2 x+1\) and \(g(x)=x^{2}-2\) \((f g)(-6)\)

Problem 18

Use the point on the line and the slope of the line to find three additional points through which the line passes. \(\begin{array}{ll}\text { Point } & \text { Slope }\end{array}\) \((-3,4)\) \(m=0\)

Problem 18

An item that sells for $$\$ 145.99$$ has a sales tax of $$\$ 10.22$$ (a) Find a mathematical model that gives the amount of sales tax \(y\) in terms of the retail price \(x\). (b) Use the model to find the sales tax on a purchase that has a retail price of \(\$ 540.50\).

Problem 18

Determine whether the equation represents \(y\) as a function of \(x\). . \(x=y^{2}\)

Problem 19

Describe the increasing and decreasing behavior of the function. Find the point or points where the behavior of the function changes. \(y=x \sqrt{x+3}\)

Problem 19

Find \(y\) such that the distance between the points is 20 . \((-15, y),(-3,-7)\)

Problem 19

Evaluate the function for \(f(x)=2 x+1\) and \(g(x)=x^{2}-2\) \(\left(\frac{f}{g}\right)(5)\)

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