Answers OC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PAbsolute Value Inequalities

The Cubing Function Answers

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The graph of f(x) = x3 – 3x2 + 4 is shown.

no real number solution

one real number solution

two real number solutions

three real number solutions

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Which is the graph of the function f(x) = x3 + 6x2 + 11x + 6?

Option

Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?

As x increases, y increases along the entire graph.

As x increases, y increases, decreases, and then increases again.

As x increases, y decreases, increases, and then decreases again.

As x increases, y decreases along the entire graph.

Graph the function y=x3+6x2+2x-11. Based on the graph, what is the largest possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.

1.11

1.9

5.2

13.2

Which is the graph of the function f(x) = x3 + x2 + 4?

Option

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(7, 9)

(–7, 9)

(9, 7)

(9, –7)

Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options.

There are three unique solutions to the function when y=0.

The function has a double root.

As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.

As x approaches negative infinity, y approaches positive infinity.

The domain and range of the function are the set of real numbers.

Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?

As x increases, y increases along the entire graph.

As x increases, y increases, decreases, and then increases again.

As x increases, y decreases, increases, and then decreases again.

As x increases, y decreases along the entire graph.

The graph of f(x) = x3 + x2 – 9x – 9 is shown.

x = –1, 3

x = –3, –1

x = –3, –1, 3

x = –9, –3, –1, 3

Which statements correctly describe the graph of the function f(x) = x3 – 2x2 – 19x + 20? Select three options.

As the x-values increase, the y-values always increase.

As x approaches negative infinity, y approaches negative infinity.

The domain of the function is all real numbers.

The range of the function is y 20.

The graph has a positive y-intercept.

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The Cubing Function Answers

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