Answers Algebra II Honors AThe Cube Root Function

The Cube Root Function — Unit test Answers

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For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

m greater-than negative StartFraction 25 Over 8 EndFraction

m less-than negative StartFraction 25 Over 8 EndFraction

m less-than StartFraction 25 Over 8 EndFraction

m greater-than StartFraction 25 Over 8 EndFraction

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What is the sum of 12 – 5i and –3 + 4i?

–16 + 63i

9 – i

9 – 9i

15 – 9i

The table below shows the data for a car stopping on a wet road. What is the approximate stopping distance for a car traveling 35 mph? Car Stopping Distancesv(mph)d(ft)1517.92031.850198.7

41.7 ft

49.7 ft

97.4 ft

115.3 ft

Which table represents points on the graph of h(x) = ?

A 2-row table has 5 columns. The first row is labeled x with entries negative 8, negative 1, 0, 1, 8. The second row is labeled y with entries 4, 3, 2, 1, 0.

A 2-row table has 5 columns. The first row is labeled x with entries negative 2, negative 1, 0, 1, 2. The second row is labeled y with entries 10, 3, 2, 1, negative 6.

A 2-row table has 5 columns. The first row is labeled x with entries negative 6, 1, 2, 3, 10. The second row is labeled y with entries 2, 1, 0, negative 1, negative 2.

A 2-row table has 5 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0. The second row is labeled y with entries negative 8, negative 1, 0, 1, 8.

The graph shows a vertical translation of y = .

{y|y < 0}

{y|y ≥ 0}

{y|y is a natural number}

{y|y is a real number}

Which statement best describes and the parent function ?

The domains of g(x) and f(x) are the same, but their ranges are not the same.

The ranges of g(x) and f(x) are the same, but their domains are not the same.

The ranges of g(x) and f(x) are the same, and their domains are also the same.

The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

Which describes how to graph by transforming the parent function?

Reflect the parent function over the y-axis, and translate it 3 units to the right.

Reflect the parent function over the y-axis, and translate it 3 units to the left.

Reflect the parent function over the x-axis, and translate it 8 units to the right.

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.

x = –3 or x = –2

x = –3 or x = 2

x = –2 or x = 3

x = 2 or x = 3

Which expression is equivalent to (4 + 6i)2?

–20 + 48i

8 + 12i

16 – 36i

20 + 48i

Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.

x = or x = 2

x = –2 or x =

x = or x = 1

x = 1 or x =

Solve for in the equation .

x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction

x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction

x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

Which pair of complex numbers has a real-number product?

(1 + 3i)(6i)

(1 + 3i)(2 – 3i)

(1 + 3i)(1 – 3i)

(1 + 3i)(3i)

Adam is using the equation (x)(x + 2) = 255 to find two consecutive odd integers with a product of 255. When Adam solves the problem using the zero product property, what do those solutions represent?

two possible “first” integers

two possible “second” integers

the two consecutive odd integers with a product of 255

a possible “first” integer and a possible “second” integer

Solve for in the equation .