Algebra 2 Review

What are the increasing intervals of the function show in the graph? Write in interval notation.

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15. Show all your work.

• 3, √5 

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

Write a polynomial function of degree 3 with zeros 3i and -2.

• P(x) = x³+2x²+9x+11

• P(x) = x³-2x²+9x+18

• P(x) = x³+2x²+9x+18

• P(x) = x²-3ix+2x-6i

What is the domain of the function shown in the graph? Write in interval notation.

• None of the answer choices

What is the vertex of of the graph of this equation?
 $y=8\left|x-3\right|+7$  

• (3, 7)

• (8, 7)

• (-3, 7)

• (-3, 8)

In the graph shown, what is the value of $a$ in the following equation:

$f\left(x\right)=a\left|x+h\right|+k$

Solve the absolute value equation.

| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution

Solve.

Solve |x – 12| - 3 = 11.

• x = -2 and x = -26

• x = -2 and x = 26

• x = 3 and x = 25

• x = 4 and x = -7

Write the end behavior of the function show in the graph.

Solve.

|p + 3| ≥ 10

• -13 ≤ p ≤ 7

• p ≤ -13 or p ≥ 7

• -7 ≤ p ≤ 13

• p ≤ -7 or p ≥ 13