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Algebra 2 8-2 Mixed Review: The Reciprocal Function Family

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Pitanje 1
1.

Review Lesson 8-1: Suppose that x and y vary inversely . Match a modeling function from the left with each inverse variation on the right and find y when x = -5.

  • When x = -5, y = -10.

  • x=48\div y

  • xy=24

  • When x = -5, y = -9.6.

  • y=\frac{50}{x}

  • When x = -5, y = -4.8.

  • Inverse variation: x = 2 when y = 12.

  • Inverse variation: x = 25 when y = 2.

  • Inverse variation: x = 12 when y = 4.

Pitanje 2
2.

Review Lesson 7.1: Without graphing, determine and indicate whether each function on the right represents exponential growth or exponential decay. Also, determine and indicate the y-intercept of each function on the right.

  • y-intercept: 0.1

  • y-intercept: 5

  • y-intercept: 3

  • Exponential growth

  • Exponential decay

  • y=3\left(4\right)^x

  • y=0.1\left(2\right)^x

  • y=5\left(0.8\right)^x

  • y=3\left(\frac{1}{2}\right)^x

Pitanje 3
3.

Review Lesson 6-3: Identify the product of each expression on the left. Match each expression with its product on the right.

  • \left(5\sqrt[3]{3}\right)^2

  • \left(4+2\sqrt{3}\right)\left(6-3\sqrt{3}\right)

  • \left(\sqrt{3}+\sqrt{5}\right)\left(\sqrt{3}-\sqrt{5}\right)

  • 6

  • -2

  • 25\cdot 3^{\frac{2}{3}}

Pitanje 4
4.

Review Lesson 4-4: Factor the quadratic expression.

Enter only an expression.

Pitanje 5
5.

Review Lesson 4-4: Factor the quadratic expression.

Enter only an expression.

Pitanje 6
6.

Vocabulary Review: Identify the reciprocal(s) from the list.

Pitanje 7
7.

Vocabulary Review: Classify each statement as eitherTrue or False.

  • The reciprocal of a positive number is positive.

  • The reciprocal of a negative number is positive.

  • A negative number has no reciprocal.

  • The reciprocal of 0 is undefined.

  • True

  • False