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9-12 Algebra 2 Unit 2 Lesson 11

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K-5 Math 6-8 Math •9-12 Math

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Algebra 1 Geometry •Algebra 2 Extra Support Materials for Algebra 1

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Unit 1 •Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 •Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15

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Algebra 1
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Integrated Math 1
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Unit 2
Unit 3
Unit 4
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Unit 6
Unit 7
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Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15

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Unit 2, Lesson 11

Finding Intersections

Algebra 2

Practice

Problem 1

What are the points of intersection between the graphs of the functions \(f(x)=x^2(x+1)\) and \(g(x)=x+1\)?

Problem 2

Select all the points of intersection between the graphs of the functions \(f(x)=(x+5)(x-2)\) and \(g(x)=(2x+1)(x-2)\).

\((\text-5, 0)\)
\((\text-\frac12, 0)\)
\((\text-2,\text-12)\)
\((2, 0)\)
\((4, 18)\)
\((5, 30)\)

Problem 3

What are the solutions to the equation \((x-3)(x+5)=\text-15\)?

Problem 4

ForLesson 5: Connecting Factors and Zeros

What are the \(x\)-intercepts of the graph of \(y=(5x+7)(2x-1)(x-4)\)?

\(\text-\frac75, \text{-}\frac12, 4\)
\(\frac57, \frac12, 4\)
\(\text{-}\frac75, \frac12, 4\)
\(\frac57, 2, 4\)

Problem 5

ForLesson 7: Using Factors and Zeros

Which polynomial function’s graph is shown here?

<p>polynomial function with roots of -2, 1, and 4</p>

\(f(x)=(x+1)(x+2)(x+4)\)
\(f(x)=(x+1)(x-2)(x+4)\)
\(f(x)=(x-1)(x+2)(x-4)\)
\(f(x)=(x-1)(x-2)(x-4)\)

Problem 6

ForLesson 10: Multiplicity

Sketch a graph of the function \(g\) defined by \(g(x)=\text-x^2(x+2)\).

Problem 7

ForLesson 9: End Behavior (Part 2)

The graph of a polynomial function \(f\) is shown.

<p>graph of a polynomial function. x intercepts = -2, -1, 1, 2. y intercept = -4. the value of f of x decreases when x increases both in the positive and negative directions</p>

Is the degree of the polynomial odd or even? Explain how you know.
What is the constant term of the polynomial?